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Rationalise the denominator of the following

`(3sqrt2)/sqrt5`

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#### Solution

We know that rationalization factor for `1/sqrta` is `sqrta`. We will multiply numerator and denominator of the given expression `(3sqrt2)/sqrt5` by `sqrt5` to get

`(3sqrt2)/sqrt5 xx sqrt5/sqrt5 = (3sqrt2 xx sqrt5)/(sqrt5 xx sqrt5)`

`= (3sqrt10)/5`

Hence the given expression is simplified to `(3sqrt10)/5`.

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