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Concept of Inequality

If x=3+22, th...

Question

If $x = 3 + 2 \sqrt{2}$ , then find the value of $\sqrt{x} - \frac{1}{\sqrt{x}}$ .

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Solution

Given that:.It can be written in the form as

Therefore,

We know that rationalization factor for is . We will multiply numerator and denominator of the given expression by, to get

Hence,

Therefore, value of the given expression is.

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Similar questions

x - \frac{1}{x} = 3 + 2 \sqrt{2}

, find the value of

x^{3} - \frac{1}{x^{3}}

t a n^{- 1} \frac{x - 3}{x - 4} + t a n^{- 1} \frac{x + 3}{x + 4} = \frac{3}{4}

, then find the value of

x

{tan}^{- 1} \frac{x - 3}{x - 4} + {tan}^{- 1} \frac{x + 3}{x + 4} = \frac{π}{4}

, then find the value of

x

-

\sqrt{18}

then find the value of

\sqrt{x} - \frac{1}{\sqrt{x}}

f^{'} (x) = (x - 1) (x - 2)^{2}

f (x) :

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