How do you rationalize the denominator and simplify #sqrt18/sqrt3#?

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Answer 1 · 2016-05-14T22:04:34

#18=3*3*2 = 3^2*2#

#sqrt(18)/sqrt(3)#

#sqrt(3^2*2)/sqrt(3)#

#(sqrt(3^2)*sqrt(2))/sqrt(3)#

#(3*sqrt(2))/sqrt(3)#

#(3*sqrt(2))/sqrt(3)*(sqrt(3))/(sqrt(3))#

#(3*sqrt(2)*sqrt(3))/3#

#(cancel(3)*sqrt(2)*sqrt(3))/cancel(3)#

#sqrt(2*3)#