Question

What is the square root for 27/12?

Answer 1

`=color(blue)(3/2`

Explanation:

`sqrt(27/12)`

`=sqrt(27)/sqrt(12)`
Now,
`sqrt27 = sqrt(3*3*3) = 3sqrt3`

`sqrt12= sqrt(3*2*2) = 2sqrt3`

So,
`sqrt(27/12) = (3cancelsqrt3)/(2cancelsqrt3`

`=color(blue)(3/2`