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

  • question_answer Simplify the given expression and find the value of the expression. \[\sqrt{\frac{~0.256\times 0.081\times 4.356}{1.5625\times 0.0121\times 129.6\times 64}}\]

    A)  10.96  

    B)  0.024           

    C)  2.196                          

    D)  4.096

    Correct Answer: A

    Solution :

                 (a): \[\sqrt{256}=16\] \[\sqrt{81}=9\] \[\sqrt{4356}=66\] \[\sqrt{15625}=125\] \[\sqrt{121}=11\] \[\sqrt{1296}=36\] Expression, \[\sqrt{\frac{256\times {{10}^{-}}^{3}\times 81\times {{10}^{-3}}\times 4356\times {{10}^{-3}}}{15625\times {{10}^{-4}}\times 121\times {{10}^{-}}^{4}\times 1296\times {{10}^{-}}^{1}\times 64}}\] \[\sqrt{\frac{16\times {{9}^{2}}\times {{66}^{2}}\times \bcancel{{{10}^{-9}}}}{{{125}^{2}}\times {{11}^{2}}\times {{36}^{2}}\times {{8}^{2}}\times \bcancel{{{10}^{-9}}}}}\] \[=\frac{16\times 9\times 66}{125\times 11\times 36\times 8}=0.024\]

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