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प्रश्न
Rationalise the denominator of each of the following
`3/sqrt5`
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उत्तर
We know that rationalization factor for `1/sqrta` is `sqrta` We will multiply numerator and denominator of the given expression `3/sqrt5` by `sqrt5`to get
`3/sqrt5 xx sqrt5/sqrt5 = (3sqrt5)/(sqrt5 xx sqrt5)`
`= (3sqrt5)/5`
Hence the given expression is simplified to `(3sqrt5)/5`
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संबंधित प्रश्न
Simplify the following expression:
`(3+sqrt3)(2+sqrt2)`
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Express the following with rational denominator:
`16/(sqrt41 - 5)`
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`(sqrt5-sqrt2)(sqrt5+sqrt2)`
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`1/(sqrt7-2)`
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Rationalise the denominator of the following:
`sqrt(6)/(sqrt(2) + sqrt(3))`
Rationalise the denominator of the following:
`(sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2))`
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