Given x, is greater than, 0, commax>0, simplify square root of, 64, x, squared, end square root

Question

64x
2

​
completely.

Answer 1

To simplify \( \sqrt{64x^2} \), we can break it down into its components:

1. The square root of 64 is 8, since \( 8 \times 8 = 64 \).
2. The square root of \( x^2 \) is \( x \) (given that \( x > 0 \)).

Putting both parts together, we have:

\[ \sqrt{64x^2} = \sqrt{64} \times \sqrt{x^2} = 8x. \]

Thus, the simplified form of \( \sqrt{64x^2} \) is:

\[ \boxed{8x}. \]