Verified answer

sqrt27x^2y-sqrt45xy^2+sqrt108x^2y-sqrt125xy^2

=3sqrt3x^2y-3sqrt5xy^2+6sqrt3x^2y-5sqrt5xy^2

=3sqrt3x^2y+6sqrt3x^2y-3sqrt5xy^2-5sqrt5xy^2

=3sqrt3x^2y(1+2)-sqrt5xy^2(3+5)

=3*3sqrt3x^2y-8sqrt5xy^2

=9sqrt3x^2y-8sqrt5xy^2

=xy(9sqrt3x-8sqrt5y) Ans.

sq rt 27 x^2y-sq rt 45xy^2+108x^2y-125xy^2

3x sq rt 3y- 3y sq rt 5x +6x sq rt 3y-5y sq rt 5x 9x sq rt 3y-8y sq rt 5x