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DIRECTIONS: For the following questions write your answer in the given space in the answer sheet. Your answer would be only in single number. Do not write in word. If \[x=7+4\sqrt{3},\]then the value of\[\sqrt{x}+\frac{1}{\sqrt{x}}\]is _______ *-correct-answer-description-* Given \[x=7+4\sqrt{3}={{\left( 2+\sqrt{3} \right)}^{2}}\] \[\therefore \]  \[\sqrt{x}=2+\sqrt{3}\] Now, \[\sqrt{x}+\frac{1}{\sqrt{x}}=\frac{x+1}{\sqrt{x}}=\frac{4\left( 2+\sqrt{3} \right)}{2+\sqrt{3}}=4\] *-question-type-* 2 *-question-instructions-* 0

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