​$$\sqrt{0.99 ×0.99×0.99}$$ is closest to ​

Correct option is C

Given:

$$\sqrt{0.99 ×0.99×0.99}$$

Solution:

$$\begin{aligned}&\text{} \quad \sqrt{0.99 \times 0.99 \times 0.99} \\&= \sqrt{(0.99)^3} = (0.99)^{3/2} \\&(0.99)^3 \approx 0.9703 \\&\sqrt{0.9703} \approx 0.985 \\&\text{Closest option: } 0.99 \times 0.99 \times 0.99\end{aligned}$$​

Correct Answer: Option C