Question

find the value of 1/1+√2 ??​

Answer 1

Answer:

1+1.414=2.414

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Step-by-step explanation:

Answer 2

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find the value of 1/1+√2 ??

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

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

>>Here,this identity is used:-

$\bold{\boxed{\red{ {x}^{2} - {y}^{2} = (x + y)(x - y)}}}$

$= > \frac{1 - \sqrt{2} }{ {(1)}^{2} - {( \sqrt{2}) }^{2} }$

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

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

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

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