Question

solve the question in the photo. ​

Answer 1

Step-by-step explanation:

Given

$x = 2 \sqrt{6} - \sqrt{5}$

Squaring both side we get

${x}^{2} = {(2 \sqrt{6)} }^{2} - { (\sqrt{5}) }^{2}$

${x}^{2} = 4 \times 6 - 5$

${x}^{2} = 24 - 5$

${x}^{2} = 19$

Now

Value of x square put in equation we get

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

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

$\frac{19 \times 19 + 1}{19}$

$19 + 1 = 20$

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