Question

prove this number plz.................​

Answer 1

Step-by-step explanation:

$\frac{1}{ \sqrt{2} - 1 } = \frac{ 1 + \frac{1}{ \sqrt{2} } }{ \frac{1}{ \sqrt{2} } }$

$\frac{1}{ \sqrt{2} - 1 } \times \frac{ \sqrt{2} + 1}{ \sqrt{2} + 1 } = \frac{ \frac{ \sqrt{2} + 1 }{ \sqrt{2} } }{ \frac{1}{ \sqrt{2} } }$

Rationalizing on lhs

$\sqrt{2} \: cancelled \: \: on \: \: rhs$

$\frac{ \sqrt{2 } + 1 }{2 - 1} = \sqrt{2} + 1$

$\sqrt{2} + 1 = \sqrt{2} + 1$

Hope it helps...

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