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Question
Express the following with rational denominator:
`16/(sqrt41 - 5)`
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Solution
We know that rationalization factor for `sqrt41 - 5` is `sqrt41 + 5` to get
`16/(sqrt41 - 5) xx (sqrt41 + 5)/((sqrt41)^2 - (5)^2)`
`= (16(sqrt41) + 5)/(41- 25)`
`= (16(sqrt41 + 5))/16`
`= sqrt41 + 5`
Hence the given expression is simplified with rational denominator to `sqrt41+5`
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