Question

1 / √2 - 1 rationalise

Answer 1

Answer:

1/√2-1= 1 / √2 - 1*1√2+1/1√2+1

= √2+1/2-1²

=√2+1

i hope this will help you

Step-by-step explanation:

Answer 2

Answer:

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Step-by-step explanation:

1/√2-1

Rationalising ::-

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

$\frac{1(\sqrt{2}+1)}{(\sqrt{2} -1)(\sqrt{2} +1)}$

$\frac{\sqrt{2} +1}{(\sqrt{2})^2 - (1)^2 }$ .......(a+b)(a-b) = a^2 - b^2

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

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

= $\sqrt{2} +1$

Thus $\sqrt{2} + 1$ is the answer

HOPE IT HELPS YOU!!