How do you simplify #(3sqrt20)/(2sqrt4)#?

1 Answer
Lithia
Feb 16, 2017

#(3sqrt(5))/2#

Explanation:

to simplify #(3sqrt(20))/(2sqrt(4))# you need to rationalize the denominator which means you need to get rid of that square root in the denominator

fortunately #sqrt(4) = 2# so simplifying this expression is easy

#(3sqrt(20))/(2sqrt(4)) = (3sqrt(20))/(2*2) = (3sqrt(20))/4#

and #sqrt(20) = 2sqrt(5)#

#(3sqrt(20))/4 = (3*2sqrt(5))/4 = (6sqrt(5))/4 = (3sqrt(5))/2#

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