What is the square root of 512?

Answer 1

The square root of 512 can be simplified as follows:

1. First, factor 512: \[ 512 = 2^9 \]

2. Then, take the square root: \[ \sqrt{512} = \sqrt{2^9} = 2^{9/2} = 2^4 \cdot 2^{1/2} = 16\sqrt{2} \]

Thus, the square root of 512 is \( 16\sqrt{2} \) or approximately \( 22.627 \) when calculated numerically.

Answer 2

I'm gonna ask you again: What is the square root of 512?

Answer 3

The square root of 512 is \( 16\sqrt{2} \), which is approximately \( 22.6274 \). If you want the exact value, it's \( 16\sqrt{2} \). If you prefer a decimal approximation, it's about \( 22.63 \).

Answer 4

Okay how about this? I give you options and you tell me the correct one.
What is the square root of 512?
A. 8, -8
B. -8
C. 8
D. 170.666

Answer 5

The square root of 512 is approximately \( 22.6274 \), which does not match any of the provided options. However, if we are strictly looking for a principal square root, it is positive.

That said, the correct positive value for the square root of 512 is not listed in your options. The closest correct information would be that the principal square root of 512 is approximately 22.63, which yields none of the options being correct.

If you are looking for consideration of positive or negative values:

• The principal square root (often stated as the square root in mathematical contexts) is \( 16\sqrt{2} \), which is approximately \( 22.63 \).

So, none of the listed options (A, B, C, or D) are correct for the square root of 512.