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

Answer: Option D

Explanation:

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

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

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

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

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

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

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

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

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

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