How do you simplify (3sqrt3)/sqrt2?

1 Answer
Jim G.
Apr 17, 2018

(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

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