# How do you simplify #sqrt((1/18))#?

##### 2 Answers

#### Explanation:

Since there can't be a square root (a radical) in the denominator, rationalize it by multiplying both the numerator and denominator with

You multiply by

#### Explanation:

It is a matter of splitting the numbers up into factors that have a root if you can. Then taking these outside of the root by applying that root.

What factors are there of 18 that we can apply a root to?

The obvious ones are 2 and 9 as

This can be split so that we have:

But convention is that you do not have a root as a denominator if you can help it.

Write as:

But

To 'get rid' of the root in the denominator multiply by the value 1 (does not change the overall values) but write the 1 in the form of

But

So now we have:

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