Question

simplify √2+1 / √2-1​

Answer 1

Step-by-step explanation:

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Answer 2

$\frac{ \sqrt{2} + 1 }{ \sqrt{2} - 1 } \\ \\ = \frac{ \sqrt{2} + 1 }{ \sqrt{2} - 1 } \times \frac{ \sqrt{2} + 1 }{ \sqrt{2} - + 1 } \\ \\ = \frac{ (\sqrt{2} + 1) \times ( \sqrt{2} + 1) }{ ( { \sqrt{2}) }^{2} - ( {1)}^{2} } \\ \\ = \frac{ {( \sqrt{2} + 1) }^{2} }{2 - 1} \\ \\ = \frac{ {( \sqrt{2}) }^{2} + 2( \sqrt{2})(1) + {(1)}^{2} }{1} \\ \\ = \frac{2 + 2 \sqrt{2} + 1}{1} \\ \\ = 3 + 2 \sqrt{2}$

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