How do you simplify the square root of 40?

Calculate the square root of the greatest perfect square from the list of all factors of 40. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. Furthermore, the greatest perfect square on this list is 4 and the square root of 4 is ±2. Therefore, A equal 2.

Calculate 40 divided by the greatest perfect square from the list of all factors of 40.

We determined above that the greatest perfect square from the list of all factors of 40 is 4.

Furthermore, 40 divided by 4 is 10,

Therefore B equals 10. Now we have A and B and can get our answer to 40 in its simplest radical form as follows:

√40 = A√B √40 = 2√10

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