Question

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Answer 1

Answer:

0.4142

Step-by-step explanation:

$\implies\sqrt{ \dfrac{\sqrt{2}-1}{\sqrt{2}+1}}\\\\\\\implies\sqrt{\dfrac{\sqrt{2}-1 }{\sqrt{2+1}}\times\dfrac{\sqrt{2}-1}{\sqrt{2}-1}}\\\\\\\implies\sqrt{\dfrac{(\sqrt2-1)^2}{(\sqrt2-1)(\sqrt2+1)}}\\\\\\\implies\sqrt{\dfrac{(\sqrt2-1)^2}{(\sqrt2)^2-1^2}}\\\\\\\\\implies\sqrt{\dfrac{(\sqrt2-1)^2}{1}}\\\\\\\implies \sqrt2 - 1\\\\\implies 1.4142 - 1 \\\\\implies 0.4142$

Answer 2

Step-by-step explanation:

Aloha !

____________

√(√2-1)/(√2+1)

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√ (√2-1)/(√2+1)×(√2-1)/(√2-1)

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√(√2-1)²/ (√2-1)(√2+1)

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√(√2-1)²/(√2)²-1²

√2-1

=1.414-1

=0.414

Thank you

@ Twilight Astro ✌️☺️♥️