Question

How do you simplify `sqrt3*3sqrt21`?

Answer 1

`9sqrt(7)`

Explanation:

As you multiply roots, then the equation can become
`3sqrt(63)`
but we can take out the 3, making it
`9sqrt(7)`

Answer 2

`9sqrt7`

Explanation:

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

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

`rArrsqrt3xx3xxsqrt21=3xxsqrt(3xx21)=3sqrt63`

`3sqrt63=3(sqrt(9xx7))=3(sqrt9xxsqrt7)=3(3sqrt7)=9sqrt7`