Question

How do you simplify `sqrt(3x) times sqrt6`?

Answer 1

`=3sqrt(2x)`

Explanation:

`sqrt(3x)timessqrt6`

`=sqrt(3xtimes6)`

`=sqrt(18x)`

`=sqrt(9times2x)`

`=3sqrt(2x)`

Answer 2

`3sqrt(2x)`

Explanation:

Using the following.

`color(orange)"Reminder " color(red)(|bar(ul(color(white)(a/a)color(black)(sqrtaxxsqrtbhArrsqrtab)color(white)(a/a)|)))`

`rArrsqrt(3x) xxsqrt6=sqrt(3x xx6)=sqrt18x`

and `sqrt(18x)=sqrt(9xx2x)=sqrt9xxsqrt(2x)=3sqrt(2x)`