How do you simplify #(5sqrt(8))/ (sqrt(75a))#?

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Answer 1 · 2015-05-24T00:10:52

We first want to get that radical off the bottom. So, we can multiply the numerator and denominator by #sqrt(75a)#.

#((5sqrt8)(sqrt(75a)))/(75a)#

#(5 sqrt(8 times 75 a))/(75a)#

#(5sqrt(600a))/(75a)#

#(50sqrt(6a))/(75a)#

#(2sqrt(6a))/(3a)#

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