X-7- 4 - find the value of - x - 1 - x

Given: x=7+√(4)=7+2=9 √(x)+1√(x)=√(9)+1√(9) =3+13=9+13=103 ...

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Finding Square of a Number Using Identity

x=7+√ 4 , fin...

Question

$x = 7 + \sqrt{4},$ find the value of $\sqrt{x} + \frac{1}{\sqrt{x}}$

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Solution

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x + \frac{1}{x} = 7

x^{4} + \frac{1}{x^{4}}

\sqrt{(x + 8) + 2 \sqrt{(x + 7)}} + \sqrt{(x + 1) - \sqrt{(x + 7)}} = 4

x = 7 + 4 \sqrt{3}

x + \frac{1}{x}

x

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\frac{4}{7} = 1

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