Question

How do you simplify `(16sqrt12)/(24sqrt16)`?

Answer 1

`sqrt3/3`

Explanation:

By using laws of surds and consequent algebraic simplification, we may write this as

`(16sqrt(4xx3))/(24sqrt4xx4)=(16*sqrt4*sqrt3)/(24*sqrt4*sqrt4)=(16xx2xxsqrt3)/(24xx2xx2)=(32sqrt3)/96=sqrt3/3`