Question

Rationalise the denominator 1/7+5 root 2

Answer 1

Hello dear friend !

Here is your answer :-

Answer 2

$\frac{1}{7 + 5 \sqrt{2} }$

By Rationalization,

$\frac{1}{7 + 5 \sqrt{2} } \times \frac{7 - 5 \sqrt{2} }{7 - 5 \sqrt{2} } \\ \\ \\ \frac{7(7 - 5 \sqrt{2} )}{(7 + 5 \sqrt{2})(7 - 5 \sqrt{2}) } \\ \\ \\ \\ \frac{(7 - 5\sqrt{2}) }{ {7}^{2} - {(5 \sqrt{2}) }^{2} } \\ \\ \\ \frac{(7 - 5 \sqrt{2}) }{49 - 50} \\ \\ \\ \frac{7 - 5 \sqrt{2} }{ - 1} \\ \\ - 7 + 5 \sqrt{2}$

I hope this will help you

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