How do you simplify #sqrt(220x^3)/sqrt(5x)#?

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Answer 1 · 2015-07-21T16:20:35

#=(2sqrt55x)/sqrt5#

#sqrt(220x^3)/(sqrt(5x#

#sqrt(220) = sqrt(2*2*11*5)#

#=sqrt(2^2*11*5)#

#=2sqrt55#

The expression can be re written as:

#sqrt(220x^3)/(sqrt(5x# #=# #(2sqrt55 * x^(3/2))/(sqrt5*x^(1/2)#

#=(2sqrt55 *x^color(blue)((3/2-1/2)))/sqrt5#

#=(2sqrt55x)/sqrt5#