Amsco Integrated Algebra I: Finding the Principal Square Root of a Monomial
 This is a free lesson from our course in Amsco's Integrated Algebra

 This lesson explains how to find the principle square root of a monomial. To find the principal square root of a monomial, find the principal square root of its numerical coefficient, keep each base, and half the exponent of each base. In case of a fraction, it is the principal square root of its numerator divided by the principal square root of its denominator. E.g. in case of monomial; √25 x8 = 5y4 and in case of fraction, √(81/144) = 9/12 and √(x10/y4) = x5/y2 . Similarly to find square root of monomial having two or more factors, write the product of the square root of its factors. For example, √36=6 as 6*6=36,√36a4=6a2 as 6*6=36 & a2*a2=a4 The video below further explains with the help of several examples.
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