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SSC Sample Paper Mock Test-20 SSC CGL Tear-II Paper-1

  • question_answer
    If \[\sqrt{3}=1.7321,\] the value of  \[\sqrt{192}-\frac{1}{2}\sqrt{48}-\sqrt{75},\] correct to 3 places of decimal, is

    A) 8.661

    B)  4.331

    C)  1.7321

    D)  \[-1.732\]

    Correct Answer: C

    Solution :

    Given expression \[=\sqrt{192}-\frac{1}{2}\sqrt{48}-\sqrt{75}\]\[=\sqrt{64\times 3}-\frac{1}{2}\sqrt{16\times 3}-\sqrt{25\times 3}\]\[=8\sqrt{3}-\frac{1}{2}\times 4\sqrt{3}-5\sqrt{3}\] \[=8\sqrt{3}-2\sqrt{3}-5\sqrt{3}=\sqrt{3}=1.7321\]


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