Question

Which expression is equivalent to Assume x > 0 and y 0.

Answer 1

The answer is radical 5 over x^2 y 

Answer 2

we have

$\sqrt{\frac{55x^{7}y^{6}}{11x^{11}y^{8}}}$

we know that

$\sqrt{\frac{55x^{7}y^{6}}{11x^{11}y^{8}}} =\sqrt{\frac{55}{11}\frac{x^{7}}{x^{11}}\frac{y^{6}}{y^{8}}} \\ \\= \sqrt{\frac{5}{x^{4} y^{2}}} \\ \\ =\frac{\sqrt{5}}{x^{2} y}$

therefore

the answer is

The expression equivalent is  $\frac{\sqrt{5}}{x^{2} y}$