Question

$a = \sqrt{2 } - 1 \\ find(1 \div a)$
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Answer 1

Answer:

$\tt \huge \red {\frac{ \sqrt{2} + 1}{3} }$

Step-by-step explanation:

$\tt \huge1 \div a = \frac{1}{ \sqrt{2} - 1 }$

Let Rationalise them ☺️

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