Question

How do you simplify `3sqrt3*sqrt18`?

Answer 1

`9sqrt6`

Explanation:

`"using the "color(blue)"law of radicals"`

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

`"simplifying "sqrt18=sqrt(9xx2)=sqrt9xxsqrt2=3sqrt2`

`rArr3sqrt3xxsqrt18`

`=3sqrt3xx3sqrt2`

`=(3xx3)xxsqrt(3xx2)=9sqrt6`