What is the square root of $8/18$ ?

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Answer 1 · 2018-04-04T03:01:52

$2/3$

We want $sqrt(8/18)$

Recalling that $sqrt(a/b)=sqrta/sqrtb,$ we get

$sqrt8/sqrt18$

We need to simplify these roots.

$sqrt8=sqrt(4*2)=sqrt4sqrt2=2sqrt2$

$sqrt(18)=sqrt(9*2)=sqrt9sqrt2=3sqrt2$

So, we then have

$(2cancelsqrt2)/(3cancelsqrt2)=2/3$

What is the square root of 8/188/18?