Rewrite the irrational square root 48−−√ as the product of an integer and another irrational square root.(1 point)

Responses

224−−√
2 start root 24 end root

43–√
4 start root 3 end root

412−−√
4 start root 12 end root

212−−√

out of the responses

2√3

4√3

To rewrite √48 as the product of an integer and another irrational square root, we need to simplify the square root of 48.

First, let's find the prime factorization of 48: 48 = 2 * 2 * 2 * 2 * 3 = 2^4 * 3.

Now, we can rewrite the square root of 48 as the square root of (2^4 * 3). Using the property √(ab) = √a * √b, we can split the square root into two separate square roots.

√48 = √(2^4 * 3) = √(2^4) * √3 = 2^2 * √3 = 4√3

Therefore, the irrational square root of 48 can be rewritten as the product of an integer (4) and another irrational square root (√3).