Question

What is the expression `sqrt72 - 3sqrt2` written in simplest radical form?

Answer 1

See below

Explanation:

`sqrt72-3sqrt2=sqrt(3^2·2^3)-3sqrt2=sqrt(2^2·2·3^2)-3sqrt2=2·3sqrt2-3sqrt2=6sqrt2-3sqrt2=3sqrt2`

Answer 2

`3sqrt2`

Explanation:

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

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

`rArrsqrt72=sqrt(36xx2)=sqrt36xxsqrt2=6sqrt2`

`rArrsqrt72-3sqrt2=6sqrt2-3sqrt2=3sqrt2`