Question

rationalise the denominator of 1/1-root7

Answer 1

${\bold{Hey\:Mate!}}$

${\sf{\pink{\underline{Rationalizing \:the\:denominator}}}}$

=>when we have the denominator of a fraction as an irrational , we need to convert it into a rational number by multiplying with a particular number. This is called rationalizing the denominator .

Here the denominator is (1 - √7) so in order to rationalise , we will multiply and divide by the opposite sign i,e ( 1 + √7)

As we multiply and divide simultaneously , it doesn't effect the original value.

So we have,

$= > \frac{1}{1 - \sqrt{7} } \times \frac{1 + \sqrt{7} }{1 + \sqrt{7} } \\ \\ = \frac{1 + \sqrt{7} }{1 - 7} = \frac{1 + \sqrt{7} }{ - 6} \\ \\ = \frac{ - 1 - \sqrt{7} }{6}$

${\underline{\bold{This\:is\:the\:Rationalized \:value!!}}}$

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Answer 2

HEYA MATE !

Hope it helps

@jain2403khushboo here✌️

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