Evaluate
$$\begin{aligned} \sqrt[3]{4\frac{12}{125}} \end{aligned}$$

Answer: Option C

Explanation:

21*21*21 = 9261

Answer: Option B

Explanation:

$$\begin{aligned} => \sqrt{81} + \sqrt{0.81} = 10.09 - X \end{aligned}$$

$$\begin{aligned} => 9 + 0.9 = 10.09 - X \end{aligned}$$

$$\begin{aligned} => X = 10.09 - 9.9 = 0.19 \end{aligned}$$

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 A

Explanation:

$$\begin{aligned} 3600 = 2^3 \times 5^2 \times 3^2 \times 2 \end{aligned}$$
To make it a perfect cube it must be divided by
$$\begin{aligned} 5^2 \times 3^2 \times 2 = 450 \end{aligned}$$

Answer: Option C

Explanation:

$$\begin{aligned} = (\frac{25}{11} \times \frac{14}{5} \times \frac{11}{14}) \end{aligned}$$

$$\begin{aligned} = 5 \end{aligned}$$