Simplify 252−−−√ (1 point) Responses 1221−−√ 12 square root of 21 67–√ 6 square root of 7 328−−√ 3 square root of 28 263−−√ 2 square root of 63

Answer 1

To simplify \(\sqrt{252}\), we first factor \(252\):

\[ 252 = 2^2 \times 3^2 \times 7 \]

Now we can take the square root:

\[ \sqrt{252} = \sqrt{2^2 \times 3^2 \times 7} = \sqrt{(2 \times 3)^2 \times 7} = 6\sqrt{7} \]

Thus, the simplified form is \(6\sqrt{7}\).

Considering the given options, the correct response is:

6 square root of 7.