Question

If x = root2 - 1 then write the value of
of 1/x​

Answer 1

Answer:

✓2+1

Step-by-step explanation:

x = ✓2-1

1/x = (1/✓2-1)*(✓2+1/✓2+1)

= ✓2+1/2-1

=✓2+1

Answer 2

Given,

$x=\sqrt {2} - 1$

To Find,

$\frac{1}{x} =?$

Answer :-

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

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

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

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

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

$=>1+\sqrt{2}$

Hence,

The value of $\frac{1}{x}$ if $x=\sqrt {2} - 1$ is $1+\sqrt {2}$.

☆ Hope it Helps ☆

@NightRead