Question

prove that 1/ root 2 -1 = root 2 + 1​

Answer 1

Step-by-step explanation:

$\frac{1}{ \sqrt{2} - 1 } \\ = \frac{(1 + \sqrt{2} )}{ (\sqrt{2 } - 1 )( \sqrt{2} + 1)} \\ = \frac{(1 + \sqrt{2}) }{ { (\sqrt{2}) }^{2} - ( {1}^{2}) } \\ = \frac{ \sqrt{2} + 1}{2 - 1} \\ = \frac{ \sqrt{2} + 1 }{1} \\ = \sqrt{2} + 1 \\ = rhs \\ hence \: proved \\ \\ \\ \\ please \: mark \: as \: brainliest$