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Say the monomial is 4a squared. To find the square root to must do each part seperately. So square root of 4 is 2 and the square root of a-squared is |a| because we do not know the sign of a. The answer is 2|a|. If there is anything that cannot be "square rooted" then it would stay under a square root sign and just multiply by 2a as well.
The principal root of a number is only its positive root (you can understand that you are looking for the principal root from the sign in front of the radical, which is a positive one)
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How do you find the root of a monomial that is a perfect square?
Find the square root of each of its components, and muliply them together. For example, 36x8 the square root of 36 is 6 the square root of x8 is x4 so the square root of 36x8 is 6x4
Is the square root of x a monomial?
No, the index of x must be a non-negative integer.
Is 2 a rational square root?
Yes, it is the principal square root of 4, and it is rational.
What is the principal square root of 81?
9
What is the principal square root of 400?
20
