Question

What is the square root of 12 times the square root of 3?

Answer 1

(Assuming only principal [non-negative] square roots
`sqrt(12)xxsqrt(3) = 6`

Explanation:

`sqrt(12) = sqrt(2^2xx3) = sqrt(2^2)xxsqrt(3) = 2sqrt(3)`

So `sqrt(12)xxsqrt(3)`
`color(white)("XXX")=2sqrt(3)xxsqrt(3)`

`color(white)("XXX")=(2xx sqrt(3))xxsqrt(3))`

`color(white)("XXX")=2xx (sqrt(3)xxsqrt(3))`

`color(white)("XXX")=2xx3`

`color(white)("XXX")=6`