SOLUTION: How do you simplify radicals when your variable is outside in front of the square root? For example x square root 8y + 3 square root 2x to the power of 2 and then y

Question 209827: How do you simplify radicals when your variable is outside in front of the square root? For example x square root 8y + 3 square root 2x to the power of 2 and then y
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
x(sqrt{8y}) + 3(sqrt{2x^2}y})
Leave y inside for both square roots.
x(sqrt{8y}) becomes 2x(sqrt{2y}).
3(sqrt{2x^2}y})becomes 3x(sqrt{2y}).
We now have the same radicand 2y. See it?
We can now add these two guys.
2x(sqrt{2y})+ 3x(sqrt{2y}) = 5x(sqrt{2y})
NOTE: You can only add or subtract radicals that have the same radicands.

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