what is radical 72 expressed in simpilest radical form

√72

= √36√2
= 6√2

To express √72 in its simplest radical form, we need to identify the largest perfect square that can be extracted from 72.

To do this, let's factorize 72 into its prime factors:
72 = 2 * 2 * 2 * 3 * 3

Now, we can group two 2's together:
72 = (2 * 2) * 2 * 3 * 3
= 4 * 2 * 3 * 3

Next, we extract the square root of the largest perfect square (4) from the expression:
√72 = √(4 * 2 * 3 * 3)

Since 4 is a perfect square (2 * 2 = 4), we can simplify the radical expression:
√72 = √(4 * 2 * 3 * 3)
= √4 * √(2 * 3 * 3)
= 2 * 3√2
= 6√2

Therefore, the simplest radical form of √72 is 6√2.