Question

The square root of $\frac{0.081}{0.0064}\times \frac{0.484}{6.25}\times \frac{25}{121}$

• A. 0.45
• B. 0.75
• C. 0.95
• D. 0.99

Answer 1

Answer: (C)

${\left(\frac{0.081}{0.0064}\times \frac{0.484}{6.25}\times \frac{25}{121}\right)}^{\frac{1}{2}}$
$={\left(\frac{81\times 10^{-3}}{64\times 10^{-4}}\times \frac{484\times 10^{-3}}{625\times 10^{-2}}\times \frac{25}{121}\right)}^{\frac{1}{2}}$
$={\left(\frac{81\times 484\times 25\times 10^{-3-3}}{64\times 625\times 121\times 10^{-4-2}}\right)}^{\frac{1}{2}}$
$={\left(\frac{81\times 484\times 25}{64\times 625\times 121}\right)}^{\frac{1}{2}}$
$=\frac{(81{)}^{\frac{1}{2}}\times (484{)}^{\frac{1}{2}}\times (25{)}^{\frac{1}{2}}}{(64{)}^{\frac{1}{2}}\times (625{)}^{\frac{1}{2}}\times (121{)}^{\frac{1}{2}}}=\frac{9\times 22\times 5}{8\times 25\times 11}$
$=\frac{9}{20}$
$=0.45$