• # 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

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