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SSC Quantitative Aptitude Basic Calculations Question Bank Square and Cube Root (II)

  • question_answer
    The square root of \[\frac{{{(0.75)}^{3}}}{1-0.75}+[0.75+{{(0.75)}^{2}}+1]\] is

    A) 1

    B) 2

    C) 3

    D) 4

    Correct Answer: B

    Solution :

    [b] \[\sqrt{\frac{{{(0.75)}^{3}}}{(1-0.75)}+[0.75+{{(0.75)}^{2}}+1]}\] \[=\sqrt{\begin{align}   & {{(0.75)}^{3}}+(1-0.75) \\  & \frac{[0.75+{{(0.75)}^{2}}+1]}{0.25} \\ \end{align}}\] \[=\sqrt{\frac{{{(0.75)}^{3}}+[{{1}^{3}}-{{(0.75)}^{3}}]}{0.25}}\] \[=\sqrt{\frac{{{(0.75)}^{3}}+1-{{(0.75)}^{3}}}{0.25}}=\sqrt{\frac{1}{0.25}}\] \[=\sqrt{\frac{{{(0.75)}^{3}}+1-{{(0.75)}^{3}}}{0.25}}=\sqrt{\frac{1}{0.25}}\] \[=\sqrt{\frac{100}{25}}=\sqrt{4}=2\]


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