Find the value of 5y $$\sqrt{y^3-y²}$$​ when y = 5

Correct option is D

Solution:

​$$5y \sqrt{y^3-y^2}\\5y \sqrt{y^2(y-1)}\\5y^2 \sqrt{y-1}\\5\times 5^2 \sqrt{5-1}\\ 5\times 25\sqrt{4}\\ 5 \times 25 \times 2= 250$$​​