Math, asked by vasavaaarav3, 1 month ago

Rationalize the Denominator of :

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Answered by dhruvpratapsinghh
1

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,

\begin{gathered} = > \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} \end{gathered}

=>

1−

7

1

×

1+

7

1+

7

=

1−7

1+

7

=

−6

1+

7

=

6

−1−

7

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

ThisistheRationalizedvalue!!

Answered by varshayadav19
2

Answer:

hope it helped u.

rRationalize the Denominator of :

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