SOLUTION: 5y sqrt(8y)+2 sqrt(50y^3)

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Question 612956: 5y sqrt(8y)+2 sqrt(50y^3)
Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!

The two terms, as they stand, are not like terms so we cannot add them together. But both square roots have perfect square factors so we can simplify each one:



Note: Because the initial square roots had odd powers of y, we know that y cannot be negative. So an absolute value is not necessary around the "y" we got from .
Continuing to simplify...


Now that the square roots are simplified, we happen to have like terms that can be added together! (Note: This does not always happen.) Adding the terms together we get:

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