Obey the Order of Operations

Expression in brackets are resolved first, so we follow the steps below.

Step 1:
$(-8)^2 = 64.$

Then step 2:
$\sqrt{64} = 8.$

So 8 is the answer!

Per definition; the principle square root of $x^2$ is the positive value $x$ , not $-x.$ For instance, we take $\sqrt{100}$ to be 10, not $-10.$ .

However, in an equation, the square root can be both the positive and the negative value of $x$ . For instance, $x^2 = 100 \rightarrow x = 10 \text{ or } x = -10.$

Because this problem doesn't consist of an equation, the correct answer is 8, not -8.

$( - 8 ) ^2 = 64$ . $\sqrt{ 64 } = 8$ .

Note: In general, for any real number $x$ , $\sqrt{ x^2 } = |x |$ . We should also keep in mind that for $x>0$ , $\left (\sqrt{-x} \right )^2 \ne \sqrt{(-x)^2}$ . This is because the first radical takes the form of an imaginary number, which is a whole other thing to cover.

As $\huge\sqrt{x^2} = |x|$

$\huge\sqrt{(-8)^2} → |-8| → \boxed{\boxed{8}}$

The answers session is getting worse each time. People are so arrogant and can't they admit that they are wrong. The answer is 8. Period. This is a Level 1 question. If you don't understand, go back to the material and stop trying to push your non sense.

The answer is plus or minus 8 not just plus 8

following the order of operations: BEDMAS

you must apply the squared value of -8 first, therefore (-8)(-8), which equals 64. you then calculate the square root of 64, which is 8.

Hello. Just have to follow PEMDAS Rule by the way...you need to change the radical sign into rational exponent and then evaluate by following such rule...Prejudice is ignorance.

Note here that the square root only returns positive real numbers. In order to return both negative and positive real numbers, the ± symbol must be used in front of the √ symbol. So the answer will be 8.

minus 8 squared is Positive 64, the square root of which is 8.I am unsure why -8 is not also a valid answer though....

$\sqrt{(-a)^2}=|a|$

So $|-8|=\boxed{\large{8}}$

The answer to this is +/- 8, there actually 2 answers. Any time you have a quadratic, there are always 2 answers. 64^1/2 is true for both 8 and -8.

Here are the order of operations:

PEMDAS

Parenthesis Exponents Multiplication Division Addition Subtraction

Using the order of operations:

(-8)^2 = 64, not -64. If the answer was -64, the equation would have to be -(8)^2 = -64.

The square root of 64 is 8. So, the answer to the question is 8.

-8^2 = + 64, Therefore Square root of 64 = -8 or +8, Then the answer is 8

Why can't -8 also be an answer? The sq rt of 64 is ±8 surely.

(-8)^2/2
= 64^1/2 = +-8

Expression in parenthesis are resolved first, so we follow the steps below.

Step 1:

Then step 2:

So 8 is the answer!

x^2 = 64 |x|=8 x=+8 or -8 sqrt(64)

8 is not a Proper Solution. The solution will be 8 and -8 both. Because Squire Root of any positive number always have 2 roots.

(-8)^2 = 64 ... then sqrt(64) = 8 :D

((\sqrt{-8}^2

Obviously, For any x real number, $\sqrt{x^2}=|x|$ . So, $\sqrt{(-8)^2}=|-8|=8$ .

similarly |-8| = 8

Sqrt((-8)^2= 8. This is because the exponent is outside of the parentheses of (-8) meaning that it would be -8 x-8 which is equal to 64, sqrt64=8 had the question been sqrt(-8^2) it would simplify to -64, sqrt-64= -8

Clearly my simple math is different. I wish I could keep up with all those technical answers. Anyone else just stick with the simple order of operations and 3rd grade multiplication of negatives? (-8)(-8)=64 Square root of 64 is 8

(-8X-8 = +64) so square root of 64 is 8

(-8)×(-8)=64 root of 64 = 8 answer.

its simple that answer is 8 cause (-) is inside the bracket and also surrounded by a squire if we want to write it like -1*(8) its a wrong approach. here first of all we must vanish the squire then further operation ..