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

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Answer 1 · 2017-05-30T18:38:46

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

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

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

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

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

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

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

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

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