Question

Gud evening ❤️

if x= 2+√3 , then the value of √x + 1/√x.

#Answer ​

Answer 1

Answer:

$Hey mate!</p><p></p><p>_______________________</p><p></p><p>Given :</p><p></p><p>x = 2 + \sqrt{3}x=2+3</p><p></p><p>To find :</p><p></p><p>x + \frac{1}{x}x+x1</p><p></p><p>Solution :</p><p></p><p>\begin{gathered}x = 2 + \sqrt{3} \\ \\ \frac{1}{x} = \frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } \\ \\ \frac{1}{x} = \frac{2 - \sqrt{3} }{(2) {}^{2} - ( \sqrt{3} ) {}^{2} } \\ \\ \frac{1}{x} = \frac{2 - \sqrt{3} }{4 - 3} \\ \\ \frac{1}{x} = 2 - \sqrt{3} \end{gathered}x=2+3x1=2+31×2−32−3x1=(2)2−(3)22−3x1=4−32−3x1=2−3</p><p></p><p>Now,</p><p></p><p>\begin{gathered}x + \frac{1}{x} \\ \\ = 2 + \sqrt{3} + 2 - \sqrt{3} \\ \\ = 2 + 2 \\ \\ = 4\end{gathered}x+x1=2+3+2−3=2+2=4</p><p></p><p>_______________________</p><p></p><p>Thanks for the question$

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