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# (sqrtx-1/sqrtx)^2

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(sqrtx-1/sqrtx)^2

if x=sqrt3-sqrt2

Guest May 18, 2017
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(sqrtx-1/sqrtx)^2

if x=sqrt3-sqrt2

$$(\sqrt{x}-\frac{1}{\sqrt{x}})^2\\ =x-2+\frac{1}{x}\\ \qquad when\;\ x=\sqrt3-\sqrt2\\ =\sqrt3-\sqrt2-2+\frac{1}{\sqrt3-\sqrt2}\\ =\sqrt3-\sqrt2-2+\frac{1}{\sqrt3-\sqrt2}\times \frac{\sqrt3+\sqrt2}{\sqrt3+\sqrt2}\\ =\sqrt3-\sqrt2-2+(\sqrt3+\sqrt2)\\ =2\sqrt3-2\\$$

Melody May 18, 2017

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