SOLUTION: Square root of 75a^3 + a square root of 12a

Question 350765: Square root of 75a^3 + a square root of 12a
Answer by haileytucki(390) (Show Source): You can put this solution on YOUR website!
~(75a^(3))+~(12a) ~ symbol = square root
Pull all perfect square roots out from under the radical. In this case, remove the 5a because it is a perfect square.
5a~(3a)+~(12a)
Pull all perfect square roots out from under the radical. In this case, remove the 2 because it is a perfect square.
5a~(3a)+2~(3a)
Factor out the GCF of ~(3a) from each term in the polynomial.
~(3a)(5a)+~(3a)(2)
Factor out the GCF of ~(3a) from 5a~(3a)+2~(3a).
~(3a)(5a+2)
Move the term after the radical to the front of the radical (~(3a)(5a+2)).
*(5a+2)~(3a)
Remove the parentheses around the expression 5a+2.
5a+2~(3a)

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