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Question
Rationalise the denominator of each of the following
`1/sqrt12`
Solution
We know that rationalization factor for `1/sqrta` is `sqrta`. We will multiply numerator and denominator of the given expression `1/sqrt12` by `sqrt12` to get
`1/sqrt12 xx sqrt12/sqrt12 = sqrt12/(sqrt12 xx sqrt12)`
`= sqrt12/12`
`= (sqrt4 xx sqrt3)/12`
`= (2 xx sqrt3) /12`
`= sqrt3/6`
Hence the given expression is simplified to `sqrt3/6`
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