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DIRECTIONS: For the following questions write your answer would be only in single number. Do not write in word. If \[x-\frac{1}{x}=\sqrt{6},\] then \[{{x}^{2}}+\frac{1}{{{x}^{2}}}=\_\_\_\_\_\_\_\_\_\_\] *-correct-answer-description-* \[x-\frac{1}{x}=\sqrt{6}\] Squaring on both sides, we get \[{{\left( x-\frac{1}{x} \right)}^{2}}={{\left( \sqrt{6} \right)}^{2}}\] \[{{x}^{2}}+\frac{1}{{{x}^{2}}}-2.x\frac{1}{x}=6\] \[{{x}^{2}}+\frac{1}{{{x}^{2}}}=6+3=8.\] *-question-type-* 6 *-question-instructions-* 0

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