go step by step to reduce the radical. square root of 72

Answer 1

To simplify the square root of 72, we need to factorize 72 into its prime factors.

1. Start by finding the prime factorization of 72:
72 = 2 x 36
= 2 x 2 x 18
= 2 x 2 x 2 x 9
= 2 x 2 x 2 x 3 x 3

2. Now, we can rewrite the square root of 72 as the square root of (2 x 2 x 2 x 3 x 3).

3. Next, we can simplify the square root by taking out the pairs of identical numbers:
√(2 x 2 x 2 x 3 x 3) = 2 x 3 x √2

4. Therefore, the simplified form of the square root of 72 is 6√2.