Question

What is the product of 6 and 2 square root of 72 in simplest radical form?

Answer 1

`72√(2)`

Explanation:

`(6) 2√(72) \\`

Simplify the square root of 72 by finding perfect squares

`√(9(4)(2))`

The square root of 9 = 3 and the square root of 4 = 2. Bring the 2 and 3 outside the square root.

`6(2)(2)(3)√(2)`

Multiply

6 x 2 x 2 x 3 = 72

`72√(2)`