How do you simplify sqrt((5c^5)/(4d^5))?

1 Answer
May 30, 2017

color(blue)((c^2sqrt(5cd))/(2d^3)

Explanation:

sqrt((5c^5)/(4d^5))

:.=(sqrt(5c^5))/(sqrt(4d^5))

:.=sqrt(5*c*c*c*c*c)/sqrt(2*2*d*d*d*d*d)

:.=(c^2sqrt(5c))/(2d^2sqrtd)

:.=(c^2sqrt(5c))/(2d^2sqrtd) xx (2d^2sqrtd)/(2d^2sqrtd

:.=(cancel2^color(blue)1c^2cancel(d^2)sqrt(5cd))/(cancel4^color(blue)2cancel(d^5)^3

:.color(blue)(=(c^2sqrt(5cd))/(2d^3)