According to the problem , [ y=( √( x ) + 1 √( x ) #160; #160; ) ^ 2; =( x+1 √( x ) #160; #160; ) ^ 2; =( x+1 ) #16 ...

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Continuity at a Boundary

Simplify √x...

Question

Simplify $(\sqrt{x} + \frac{1}{\sqrt{x}})^{2}$

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Solution

According to the problem ,
$\begin{matrix} y = {(\sqrt{x} + \frac{1}{\sqrt{x}})}^{2} = {(\frac{x + 1}{\sqrt{x}})}^{2} = \frac{{(x + 1)}^{2}}{x} = \frac{x^{2} + 2 x + 1}{x} \end{matrix}$

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