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Question
The number obtained on rationalising the denominator of `1/(sqrt(7) - 2)` is ______.
Options
`(sqrt(7) + 2)/3`
`(sqrt(7) - 2)/3`
`(sqrt(7) + 2)/5`
`(sqrt(7) + 2)/45`
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Solution
The number obtained on rationalising the denominator of `1/(sqrt(7) - 2)` is `underlinebb((sqrt(7) + 2)/3)`.
Explanation:
Rationalizing the denominator as follows:
`1/(sqrt(7) - 2) = 1/(sqrt(7) - 2) xx (sqrt(7) + 2)/(sqrt(7) + 2)`
= `(sqrt(7) + 2)/((sqrt(7))^2 - 2^2)`
= `(sqrt(7) + 2)/(7 - 4)`
= `(sqrt(7) + 2)/3`
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