Question

How do you simplify `sqrt12 + 3sqrt3`?

Answer 1

`5sqrt3`

Explanation:

`sqrt12=sqrt4xxsqrt3` = `2sqrt3`

So `sqrt12+3sqrt3=2sqrt3+3sqrt3=5sqrt3`

Answer 2

`5sqrt3`

Explanation:

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

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

`3sqrt3" is in simplest form"`

`"simplifying "sqrt12`

`sqrt12=sqrt(4xx3)=sqrt4xxsqrt3=2sqrt3`

`rArrsqrt12+3sqrt3=2sqrt3+3sqrt3=5sqrt3`