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

  • question_answer
    Which is the smallest natural number which when added to the difference of squares of 17 and 13 gives a perfect square?               

    A)  \[1\]                                    

    B)                         \[5\]                    

    C)                         \[11\]                                  

    D)                         \[24\]

    Correct Answer: A

    Solution :

    \[{{17}^{2}}-{{13}^{2}}=289-169=120\] \[120+1=121={{11}^{2}}\] \[\therefore \] The required number is 1.


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