Go step by step to reduce the radical. square root 72

Answer 1

Step 1: Identify any perfect square factors of 72. In this case, 36 is a perfect square factor of 72 because 36 x 2 = 72.

Step 2: Rewrite the square root as the product of the square root of the perfect square factor and the remaining factor inside the square root. This gives us sqrt(72) = sqrt(36 x 2).

Step 3: Simplify the square root of the perfect square factor. The square root of 36 is 6.

Step 4: Rewrite the square root as the simplified perfect square factor times the remaining factor inside the square root. This gives us sqrt(72) = 6 x sqrt(2).

Therefore, the square root of 72 can be simplified to 6√2.