Math, asked by thombresumit2006, 5 months ago


Rationalize the denominator 1/√7 + √2​

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Answered by varshithanirmala2020
3

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Answered by Anonymous
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On rationalising the

Denominator of 1/√7 + √2 we get ,

√7 - √2 / 5

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Explanation-:

Given,

1/√7 + √2

To ,

Rationalise the denominator.

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Now ,

1/√7 + √2

To rationalise the denominator we have

to multiply the both numerator and

denominator by (√7 - √2)

1 x √7 - √2 / (√7 + √2 ) x (√7 - √2)

√7 - √2 / (√7 + √2 ) x (√7 - √2)

Now ,

apply the formula (a - b)(a + b) =

a^2 - b^2 in the denominator to get

√7 - √2 / (√7 + √2 ) x (√7 - √2)

√7 - √2 / (√7 + √2 )^2

√7 - √2 / 7 - 2

√7 - √2 / 5

Therefore,

We conclude that on rationalising the

Denominator of 1/√7 + √2 we get ,

√7 - √2 / 5

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Rationalising the denominator-:A

fraction whose denominator is

unsimplified can be simplified by

making the denominator rational . This

process is called rationalising the

denominator.

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