How do you simplify #sqrt((1/18))#?
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
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.
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
So now we have:
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