Question

How do you simplify `sqrt12/sqrt49`?

Answer 1

`(2sqrt3)/7`

Explanation:

Factor out the numbers inside the radicals, then take out any perfect squares.

`[1]color(white)(XX)sqrt12/sqrt49`

`[2]color(white)(XX)=sqrt(2^2*3)/sqrt(7^2)`

`[3]color(white)(XX)=color(red)((2sqrt3)/7)`