√(-√(3)+√(3+8√(7+4√(3))))

[tex]\sqrt{ - \sqrt{3} + \sqrt{3 + 8 \sqrt{7 + 4 \sqrt{3} } } } \\ [/tex]

Answers

Answer 1

Step-by-step explanation:

Given that: √[-√(3)+√{3+8√(7+4√(3))}]

= √[-√(3) + √{3+8√((√3)² + √(4)² + 2√(4*3))}]

= √[-√(3) + √{3 + 8√(√(3) + √(4))²}] [Since, {√(a) + √(b)}² = a+b + 2√(ab)]

= √[-√(3) + √{3 + 8√(√(3) + √(4))²}]

= √[-√(3) + √{3 + 8(√(3) + √(4))}]

= √[-√(3) + √{3 + 8(√(3) + √(2*2))}]

= √[-√(3) + √{3 + 8(√(3) + 2)}]

= √[-√(3) + √{3 + 16 + 8√(3)}]

= √[-√(3) + √{19 + 8√(3)}]

= √[-√(3) + √{16 + 3 + 2√(3*16)}]

= √[-√(3) + √{(16)² + (3)² + 2√(3*16)}]

= √[-√(3) + √{√(16)² + √(3)²}] [Since, {√(a) + √(b)}² = a+b + 2√(ab)]

= √{-√(3) + √(16) + √(3)}

= √{-√(3) + √(4*4) + √(3)}

= √{-√(3) + 4 + √(3)}

Now, cancel -√3 and +√3.

= √(4)

= √(2*2)

= 2

Answer: Hence, the simplified form of √[-√(3)+√{3+8√(7+4√(3))}] = 2.

Please let me know if you have any other questions.


Related Questions

just help me already plzzzzzzzzzzzz

Answers

Answer:

140-80= 60

60/5=12

so B 12 is the answer

whats is(3.4x10^4)-(2.5x10^7)

Answers

The solution is - 24966000

What is the cost to rent each chair and each table?

Answers

chair 1.25 table 6.25 the process is shown in the following picture

find the equation of the line

Answers


b= -3

slope formula :
y2-y1/x2-x1
using points : (6,0) and (8,1)
1-0/8-6
slope=1/2
equation: y=mx+b (plug in)
y=1/2x-3

In the diagram, the radius of the outer circle is 5 centimeters and the area of the shaded region is 16π square centimeters. Find the radius of the inner circle.

A.) r = 1
B.) r = 2
C.) r = 3
D.) r = 4

Answers

Answer:

c because I did this one an yeah

The sale price of a video game is S45.50. If the stores adds a sales tax of 6%, how much in total
will it cost?

Answers

Answer: 7.5 I think I'm winging it don't trust me EVER

Step-by-step explanation: Uh music

Answer:

$48.23 is the cost

Step-by-step explanation:

Data :

Sale price  = $ 45.50

Sales tax   = 6%

Now find sales tax

 ( 45.50×6 ) ÷ 100 =  2.73

Now this in sales price

45.50 + 2.73 = 48.23

Identify the following sequences as linear, exponential, or other. For the linear and exponential, identify the rate of change and whether it is a constant that is added or multiplied.

A) 0,4,16,36,64,…

B) 1.5, 2.25, 3.375, 5.0625, …

Answers

A)

Other (Quadratic)

B)

Exponential

Rate of Change: 1.5

Multiplied

Which of the following is a correct interpretation of the expression 4 - (-3)

Answers

Answer:

positive 4 - negative 3 equals positive 1

Natalie practices the flute 4 days per week. She practices 45 hour each day.

How many hours does she practice the flute each week?

Answers

Answer:

180 hours per week

Step-by-step explanation:

To find this answer, multiply all of the factors to get your answer

In this scenario, that would be 45x4

When you multiply this out, you get 180 hours

So your answer is 180 hours per week!

(By the way whoever created this problem doesn’t know simple time because there are only 24 hours in a day!)

Hope this helps!

Determine the slope of the line represented by y=5x-7 ?

Answers

Step-by-step explanation:

that is totally easy.

in the slope intercept form of a line equation the factor of x is always the slope.

in general

y = ax + b

a = the slope.

so, in our case here

y = 5x - 7

5 is the slope.

and -7 is the y intercept (at what point does the line intercept the y-axis; that is the y value when x = 0).

HELP 9Th grade K12 MATHHHHHh i dont get how to do it





Factor.

x2−2x−24
Question 3 options:

(x−3)(x+8)

(x−4)(x+6)

(x−8)(x+3)

(x+4)(x−6)

Answers

Answer:

(X+4) (X-6)

Step-by-step explanation:

You look for the least common multiple that when multiplied would equal -24 and when added would equal -2. You could also factor out the answer choices and see which one matches.

this is the answer. please mark me as brainliest.

x-y=-5
x-y=1^3
help pleas --- solve equations by substitution.

Answers

Heya!

Answer is [tex]No \: Solution[/tex]

EXPLANATION :-

Given

x-y= -5

x-y=1³

Substitute value of x - y as in first equation,

=> x-y= -5

=> 1³ = -5

As we can't do anything more to solve, we can finally write as :

[tex]No \: Solution[/tex]

~ Benjemin360

The size of a computer class is limited to fifteen people. If three seats are still available, to what percent of its capacity is the class full?

Answers

Answer:

Its 80% full

and 20% remaining/ seats available

Step-by-step explanation:

Let us suppose that one of the fireworks is launched from the top of the building with an initial upward velocity of 150 ft/s and the building has a height of 35 feet. what is the equation for this situation?

Answers

Answer:

9.6 seconds

Step-by-step explanation:

The equation for projectile motion in feet is [tex]h(t)=-16t^2+v_0t+h_0[/tex] where [tex]v_0[/tex] is the initial velocity in ft/s and [tex]h_0[/tex] is the initial height in feet.

We are given that the initial upward velocity is [tex]v_0=150ft/sec[/tex] and the initial height is [tex]h_0=35ft[/tex]. Thus, plugging these values into our equation, we get [tex]h(t)=-16t^2+150t+35[/tex] as our equation for the situation.

The firework will land, assuming it doesn't explode, when [tex]h(t)=0[/tex], thus:

[tex]h(t)=-16t^2+150t+35\\\\0=-16t^2+150t+35\\\\t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\t=\frac{-150\pm\sqrt{150^2-4(-16)(35)}}{2(-16)}\\ \\t=\frac{-150\pm\sqrt{22500+2240}}{-32}\\\\t=\frac{-150\pm\sqrt{24740}}{-32}\\\\t=\frac{-150\pm2\sqrt{6185}}{-32}\\ \\t=\frac{75\pm\sqrt{6185}}{16}\\\\t_1\approx-0.2\\\\t_2\approx9.6[/tex]

Since time can't be negative, then the firework will land after 9.6 seconds, assuming it doesn't explode at the time of landing.

What is the solution of the following quadratic inequality? x4 – 18x2 ≥ –64

Answers

Answer:

x<=-4 or -2<=x<=2 or x>=4

Step-by-step explanation:

First, you have to get the formula in its standard form,

x^4 - 18x^2 + 64 >= 0

Next, you factorise the expression as you would any trinomial. The fact that the degree of the inequality is 4 instead of 2 just adds an extra step,

(x^2 - 16)(x^2 - 4) >= 0

Get the zeroes/critical values of the equation by equating either bracket to zero.

x^2 - 16 = 0  and  x^2 - 4 = 0

x^2 = 16                x^2 = 4

Since both values are positive, both answers are valid as squares of x. The aforementioned extra step is just square rooting these values. Remember: This means that both a positive and negative answer will arise from both equations.

x = 4 or x = -4 or x = 2 or x = -2

Now you have to show these values on a number line.

 -4     -2       2       4

_|____|____|____|_

These are the critical values of the inequality, i.e. those values that make it equal zero (zeroes). Now to solve the inequality you need to substitute a value larger than 4 (called x big positive) and then a value between 2 and 4, between -2 and 2... until you sub a value less than -4 into the factorised expression. The point of this is to get the SIGN of the answer. As a rule, since no factors repeat themselves, after calculating x big positive you can simply alternate the signs going left. Try it out yourself!

+ -4 -  -2  +   2   -   4  +

_|____|____|____|_

Since we're looking for values greater than or equal to zero, all critical values as well as "plus signs" will form part of the answer, namely:

x<=-4 or -2<=x<=2 or x>=4

P.S. If you prefer, you could also factorise each bracket further as both of them were DOTS brackets and you would have ended up with the same critical values.

Answer: D

Step-by-step explanation:

can someone please help me please

Answers

a straight horizontal line is 180 degrees

box in the middle means that angle is 90 degrees

(s+1) + 90 + (2s-1) = 180

3s + 90 = 180

s = 30

4
5
2 A plant grew 1.5 inches in 4 days. Then it grew
inch in 2 days. What was the plants average
rate of growth during the entire time?
A
inch per day
20
299
B.
8
inch per day
25
C.
el
23
inch per day
D. 3
8.
inch per day

Answers

Answer:

D is the answer

Step-by-step explanation:

this is the average growth of a plant

An angle measures 47.4° less than the measure of its supplementary angle. What is the measure of each angle?​

Answers

Answer:

Step-by-step explanation: Let's say you have 2 supplementary angles, x and y

So x + y = 180

if x is 79.6 degrees less than the measure of a supplementary angle, then x = y - 79.6

Putting this into our x + y = 180 equation, we get

(y - 79.6) + y = 180

2y - 79.6 = 180

2y = 180 + 79.6

2y = 259.6

y = 259.6/2 = 129.8 degrees.

so x = 129.8 - 79.6 = 50.2 degrees.

See if it worked. x = 129.8 degrees,  y = 50.2 degrees,    x + y = 180 so we found the correct two angles!

I need help with problem 19

Answers

Answer:

124

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The formula for calculating the sum of interior angles is:

(n - 2) x 180°  (where n is the number of sides)

interior angle of a polygon = sum of interior angles ÷ number of sides

165 = [ (n - 2) x 180° ] ÷ n

Mulitply both sides by n:             165n = (n - 2) x 180°

Expand brackets:                         165n = 180n - 360

Add 360 to both sides:    165n + 360 = 180n

Subtract 165n from both sides:   360 = 15n

Divide both sides by 15:                 24 = n

Therefore, the number of sides = 24

PLEASE HELP ME I AM RUNNING OUT OF TIME. I WILL MARK BRIANLYEST AND I AM GIVEING 20 POINTS AWAY!!!
Suppose a charity received a donation of 23.4 million. If this represents 27% of the charity's donated funds, what is the total amount of its donated funds?
Round your answer to the nearest million dollars.

Answers

Answer:

115 million

Step-by-step explanation:

Answer:

I'm pretty sure your answer is $87000000. I hope this helps you, sorry if it's wrong.... Have a good day

Step-by-step explanation:

[tex]\frac{23.4*1000000}{0.27}[/tex][tex]\\[/tex]=

23400000/0.27

Then,

2340000000/27

Second,

260000000/3

Finally,  round it to the required place and we get:

87000000

So, it is $87000000

What is the value of m?

Answers

Answer:

4

Step-by-step explanation:

m + 8 = 3m

8 = 2m

4 = m

What is B^2 ?

Square root of B^2 is ?

Answers

Answer:

what is B^2 ?

ans - 1 byte2

Square root of B^2is ?

ans - Square root(byte^2) =

1 byte

The meaning of B² and the square root of B² are respectively; B × B and B

How to find the square root?

We want to know what B² represents.

Now, B² simply means a product of B × B.

This means that if we want to find the square root of B², the answer will be B because we have seen that B² = B × B

Read more about finding the square root at; https://brainly.com/question/98314

Please solve. I think u solve for X

Answers

Answer:

x=2.1

Step-by-step explanation:

collect like terms 2.4x+5.8x=8.2x

move the terms to the left side and change its sign to -8.2x

move the constant(-3.28) to the right and change its sign to 3.28

equation should now be 9x-8.2x=-1.6+3.28

next you're going to do 9x-8.2x=0.8x

then -1.6+3.28=1.68

divide both sides of the equation by 0.8

x=2.1 is your final answer

make x the subject of the formula

a=bx+c

Answers

X=(a-c) divided by b

Angie and Kenny play online video games. Angie buys 2 software packages and 2 months of game play Kenny buys 1 software package and 4 months of game play. Each software package costs $45. If their total cost is $237, what is the cost of one month of
game play?


Answers

Answer:

One month of game play costs 17 dollars

find the additive inverse of 6/9​

Answers

Answer:

the additive inverse of 6/9 is -6/9.

if 60 sliced mushrooms are on 4 pizzas then how many sliced muchrooms are on 15 pizzas

Answers

The answer is 225
Explanation:
60/4 = 15
15(15)= 225

Gabrielle wants to keep 87% average in her biology class. She earned 98%. 84%, and 90% on her previous tests. What score does she need to keep her current average in the class?

Answers

(98 + 84 + 90 + x) / 4 = 87

87 * 4 = 348

348 - 98 = 250 - 84 = 166 - 90 = 76

She needs a 76%

Double check with (98 + 84 + 90 + 76) / 4 = 87

what is the solution to the exponential equation 8=3^x-1

Answers

X=5
The answer would be D.x=5

Answer:

x=5

Step-by-step explanation:

First we will rewrite 81=3^4

Now we have that our equation is in form of

3^4=3^x-1

From this we have that

4=x-1

We can conclude that:

x=5

find each qoutient 5/6 / 1/6

Answers

Answer:

5/6 x 6/1=30/6=5 The answer is 5

explanation:

if correct mark brainliest pls??

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