Question

If X= √2 – 1, then write the value of 1/X.​

Answer 1

Step-by-step explanation:

Given,

x=√2-1

Now,

1/x= 1/√2-1

=1/√2-1×√2+1/√2+1

=√2+1/2-1

=√2+1

Answer 2

Answer :

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

Thus the answer is √2+1 .