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

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Answer 1 · 2016-09-20T18:33:28

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

Write as: $" "sqrt(5c^5)/sqrt(4d^5)" "=" "sqrt(5xxc^2xxc^2xxc)/(sqrt(2^2xxd^2xxd^2xxd)$

$=(c^2sqrt(5c))/(2d^2sqrt(d))$

$=(c^2sqrt(5c))/(2d^2sqrt(d))color(magenta)(xx1)" " =" "(c^2sqrt(5c))/(2d^2sqrt(d))color(magenta)(xxsqrtd/sqrtd)$

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

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