Question

The value of $\sqrt{\frac{{\left(0.03\right)}^2+{\left(0.21\right)}^2+{\left(0.065\right)}^2}{{\left(0.003\right)}^2+{\left(0.021\right)}^2+{\left(0.0065\right)}^2}}$is:

• A. 0.1
• B. 10
• C. 10²
• D. 10³
• E. 10⁴

Answer 1

The correct option is B

10

$\begin{array}{c}=\sqrt{\frac{{\left(0.03\right)}^2+{\left(0.21\right)}^2+{\left(0.065\right)}^2}{{\left(\frac{0.03}{10}\right)}^2+{\left(\frac{0.21}{10}\right)}^2+{\left(\frac{0.065}{10}\right)}^2}}\\ =\sqrt{\frac{100\left[{\left(0.03\right)}^2+{\left(0.21\right)}^2+{\left(0.065\right)}^2\right]}{{\left(0.03\right)}^2+{\left(0.21\right)}^2+{\left(0.065\right)}^2}}=\sqrt{100}=10.\end{array}$