Question

Any idea on how to do this problem:

√27x^2y-√45xy^2+√108x^2y-√125xy^2

Answer 1

\[\sqrt{27x^2y}-\sqrt{45xy^2}+\sqrt{108x^2y}-\sqrt{125xy^2}\]
\[=\sqrt{3^23x^2y}-\sqrt{3^23xy^2}+\sqrt{6^23x^2y}-\sqrt{5^25xy^2}\]
Simplify taking out the squares:
\[=3x\sqrt{3y}-3y\sqrt{3x}+6x\sqrt{3y}-5y\sqrt{5x}\]
Combine like types:
\[=9x\sqrt{3y}-3y\sqrt{3x}-5y\sqrt{5x}\]
You can also rewrite this as:
\[=9x\sqrt{3y}-y(3\sqrt{3x}+5\sqrt{5x})\]

Answer 2

9x√3y-8y√5x