SOLUTION: I’m really confusing with this factoring, Can anyone please help me with step by step? Thank you very much! Simplify by factoring. 1.4*sqrt(405x^8y^10)=? 2.5*sqrt(64x^12y^15

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Question 212370: I’m really confusing with this factoring, Can anyone please help me with step by step? Thank you very much!
Simplify by factoring.
1.4*sqrt(405x^8y^10)=?
2.5*sqrt(64x^12y^15)=?

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
I'll do the first one to get you going in the right direction.

# 1


Start with the given expression.


Break up the square root using the identity


Factor 405 into 81*5


Rewrite 81 as


Rewrite as


Rewrite as


Break up the first square root (using that same identity)


Take the square root of to get 9 (notice how the squares and the square roots 'undo' each other).


Take the square root of to get .


Take the square root of to get .


Rearrange the terms.


So where every variable is nonnegative.

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