How do you simplify $sqrt24/sqrt2$ ?

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Answer 1 · 2018-03-10T00:55:05

The answer is $2sqrt3$ .

Use this rule backwards:

$sqrt(a/b)=sqrta/sqrtb$

So here's the problem:

$color(white)=sqrt24/sqrt2$

$=sqrt(24/2)$

$=sqrt12$

$=sqrt(4*3)$

$=sqrt(2^2*3)$

$=sqrt(2^2)*sqrt3$

$=2*sqrt3$

$=2sqrt3$

How do you simplify sqrt24/sqrt2sqrt24/sqrt2?