7th Class Mathematics Integers Question Bank Number System

  • question_answer
    If x=\[\frac{\sqrt{3}}{2}\], then the value of \[\sqrt{1+x}+\sqrt{1-x}\] is

    A)  \[\sqrt{3}\] 

    B)  \[\frac{\sqrt{3}}{2}\]            

    C)  \[2+\sqrt{3}\]              

    D)  \[2-\sqrt{3}\]

    Correct Answer: A

    Solution :

    (a): Let \[y=\sqrt{1+x}+\sqrt{1-x}\] \[{{y}^{2}}=2+2\sqrt{1-{{x}^{2}}}\] \[=2\left[ 1+\sqrt{1-3/4} \right]=3\] \[\Rightarrow y=\sqrt{3}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner