How do you simplify #(3sqrt3)/sqrt2#?

1 Answer
Apr 17, 2018

Answer:

#(3sqrt6)/2=3/2sqrt6#

Explanation:

#"to simplify the fraction we "color(blue)"rationalise"#
#"the denominator, that is eliminate the radical from the"#
#"denominator

#"to do this multiply the numerator/denominator by the"#
#"radical on the denominator, that is "sqrt2#

#"using the "color(blue)"laws of radicals"#

#•color(white)(x)sqrtaxxsqrtbhArrsqrt(ab)#

#•color(white)(x)sqrtaxxsqrta=a#

#rArr(3sqrt3)/sqrt2xxsqrt2/sqrt2=(3sqrt(3xx2))/2=(3sqrt6)/2=3/2sqrt6#