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8th Class Mathematics Squares and Square Roots Question Bank Squares and Square Roots

  • question_answer
    If \[\sqrt{1+\frac{25}{144}}=1+\frac{x}{12}\], then \[x\] is _______.

    A)  5                                

    B)  13      

    C)  1                    

    D)         17      

    Correct Answer: C

    Solution :

    We have, \[\sqrt{1+\frac{25}{144}}=1+\frac{x}{12}\] \[\Rightarrow \sqrt{\frac{144+25}{144}}=1+\frac{x}{12}\] \[\Rightarrow \sqrt{\frac{169}{144}}=1+\frac{x}{12}\Rightarrow \frac{13}{12}=1+\frac{x}{12}\] \[\Rightarrow \frac{x}{12}=\frac{1}{12}\Rightarrow x=1\]


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