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Question
Rationalise the denominator of the following:
`3/(2sqrt5)`
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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 `3/(2sqrt5)` by `sqrt5`to get
`3/(2sqrt5) xx sqrt5/sqrt5 = (3sqrt5)/(2sqrt5 xx sqrt5)`
`= (3sqrt5)/(2xx5)`
`= (3sqrt5)/10`
Hence the given expression is simplified to `(3sqrt5)/10`
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