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Properties and Operations on Real Numbers

If x=1/√3+1 t...

Question

If $x = \frac{1}{\sqrt{3} + 1}$ then the value of $x + \frac{1}{x}$ is

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x = \frac{\sqrt{3}}{2}

then find the value of :-

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

x - \frac{1}{x} = 3,

then the value of

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

x + \frac{1}{x} = 3

then the value of

\frac{x}{1 + x + x^{2}}

x = 1 + \frac{1}{3 + \frac{1}{2 + \frac{1}{3 + \frac{1}{2.00}}}} .

x

x = 1 + \frac{1}{3 + \frac{1}{2 + \frac{1}{3 + \frac{1}{2 \dots \infty}}}}

, then value of

x

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