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Express the Following with Rational Denominator: `16/(Sqrt41 - 5)` - CBSE Class 9 - Mathematics

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Question

Express the following with rational denominator:

`16/(sqrt41 - 5)`

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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Solution Express the Following with Rational Denominator: `16/(Sqrt41 - 5)` Concept: Operations on Real Numbers.
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