Question

if x=3+2 root 2, find the value of root x-1/root x

Answer 1

⬆HOPE THIS HELPS YOU⬅

Answer 2

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

Step-by-step explanation:

Given:

if x=3+2 root 2, find the value of root x-1/root x

Solution:

x = 3 + 2 $\sqrt2$

= 1 + 2$\sqrt2$ + 2

=(1 + $\sqrt2$)2

$\sqrt x = 1+ \sqrt2$

$\sqrt x - \frac{1}{\sqrt x} = (1 + \sqrt2) - \frac{1}{(1 + \sqrt2)}$

After simplification, we get  

$\sqrt x - \frac{1}{\sqrt x}$ = 2 $\frac{(1 + \sqrt2)}{(1 + \sqrt2)}$

$\sqrt x - \frac{1}{\sqrt x}$ = 2  

To know more:

If x=(7+4 root3) then find value root x + 1/rootx

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