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

Question

1215 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-09-28T13:32:55

$sqrt3/3$

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

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

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