How do you simplify $sqrt(14x) div sqrt(18x)$ ?

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Answer 1 · 2018-03-28T00:35:23

$sqrt7/3$

The key realization here is that we can separate the constants from the $x$ s. Doing this, we have:

$(sqrt(14x))/(sqrt(18x))=(sqrt14/sqrt18)*(cancel(sqrtx/sqrtx))$

$=>sqrt14/sqrt18$

We can break up the radicals into the following:

$sqrt14/sqrt18=(sqrt(2*7))/sqrt(2*9)= (cancel(sqrt2)*sqrt7)/(cancel(sqrt2)*sqrt9)$

$sqrt2$ cancels with itself, and we get

$=sqrt7/sqrt9$

Which can be simplified to:

$sqrt7/3$

Hope this helps!

How do you simplify sqrt(14x) div sqrt(18x)sqrt(14x) div sqrt(18x)?