Question

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

Answer 1

`(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`