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7th Class Mathematics Integers Question Bank Number System

  • question_answer
    The value of \[\sqrt{4\sqrt[3]{16\sqrt{4\sqrt[3]{16\sqrt{4\sqrt[3]{16}}}}}}\] up to \[\infty \] is

    A)  2                                

    B)  22 

    C)  23                               

    D)  25

    Correct Answer: B

    Solution :

    (b): Let expression be 'x'. Squaring, \[{{x}^{2}}=4\times \sqrt[3]{16\times \sqrt{4\times \sqrt[3]{{}}}}\] \[{{x}^{6}}=64\times 16\times \underbrace{\sqrt{4\times \sqrt[3]{16\times }}}_{x}........\]             \[{{x}^{6}}=1024x\]             solving \[x=4={{2}^{2}}\].


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