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

  • question_answer
    If \[\sqrt{{{2}^{n}}}=64,\] what is the value of 'n'?

    A)  \[2\]                                    

    B)                         \[4\]                    

    C)                         \[6\]                                    

    D)                         \[12\]

    Correct Answer: D

    Solution :

    \[\sqrt{{{2}^{n}}}=64={{2}^{6}}\]   \[\Rightarrow \]  \[{{2}^{\frac{n}{2}}}={{2}^{6}}\] So, \[\frac{n}{2}=6\] or \[n=12\]


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