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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