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

1 Answer
Sep 20, 2016

Answer:

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

Explanation:

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)#