Find the value of X
$$\begin{aligned} \sqrt{81} + \sqrt{0.81} = 10.09 - X \end{aligned}$$

Answer: Option D

Explanation:

$$\begin{aligned} = \sqrt{.000064} \end{aligned}$$
$$\begin{aligned} = \sqrt{\frac{64}{10^6}} \end{aligned}$$
$$\begin{aligned} = \frac{8}{10^3} = .008 \end{aligned}$$
$$\begin{aligned} = \sqrt[3]{.008} \end{aligned}$$
$$\begin{aligned} = \sqrt[3]{\frac{8}{1000}} \end{aligned}$$
$$\begin{aligned} = \frac{2}{10} = 0.2 \end{aligned}$$

Answer: Option D

Explanation:

$$\begin{aligned} = \sqrt{10+\sqrt{25+\sqrt{108+\sqrt{154+\sqrt{225}}}}} \end{aligned}$$

$$\begin{aligned} =\sqrt{10+\sqrt{25+\sqrt{108+\sqrt{154+15}}}} \end{aligned}$$

$$\begin{aligned} =\sqrt{10+\sqrt{25+\sqrt{108+\sqrt{154+15}}}} \end{aligned}$$

$$\begin{aligned} =\sqrt{10+\sqrt{25+\sqrt{108+\sqrt{169}}}} \end{aligned}$$

$$\begin{aligned} =\sqrt{10+\sqrt{25+\sqrt{108+13}}} \end{aligned}$$

$$\begin{aligned} =\sqrt{10+\sqrt{25+\sqrt{121}}} \end{aligned}$$

$$\begin{aligned} =\sqrt{10+\sqrt{25+11}} \end{aligned}$$

$$\begin{aligned} =\sqrt{10+\sqrt{36}} \end{aligned}$$

$$\begin{aligned} =\sqrt{10+6} \end{aligned}$$

$$\begin{aligned} =\sqrt{16} = 4 \end{aligned}$$

Answer: Option D

Answer: Option C

Explanation:

21*21*21 = 9261

Answer: Option C

Explanation:

$$\begin{aligned} = \sqrt{248+\sqrt{64}} \end{aligned}$$

$$\begin{aligned} = \sqrt{248+8} \end{aligned}$$

$$\begin{aligned} = \sqrt{256} \end{aligned}$$

$$\begin{aligned} = 16 \end{aligned}$$