Question Detail
The cube root of .000216 is
- 0.6
- 0.006
- 0.06
- .0006
Answer: Option C
1. \begin{aligned} \sqrt{0.00059049} \end{aligned}
- 24.3
- 2.43
- 0.243
- 0.0243
Answer: Option D
2. Evaluate \begin{aligned} \sqrt[3]{\sqrt{.000064}} \end{aligned}
- 0.0002
- 0.002
- 0.02
- 0.2
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}
3. Evaluate
\begin{aligned}
\sqrt{1\frac{9}{16}}
\end{aligned}
- \begin{aligned} 1\frac{1}{6} \end{aligned}
- \begin{aligned} 1\frac{1}{5} \end{aligned}
- \begin{aligned} 1\frac{1}{4} \end{aligned}
- \begin{aligned} 1\frac{1}{3} \end{aligned}
Answer: Option C
Explanation:
\begin{aligned}
= \sqrt{\frac{25}{16}}
\end{aligned}
\begin{aligned}
= \frac{\sqrt{25}}{\sqrt{16}}
\end{aligned}
\begin{aligned}
= \frac{5}{4}
\end{aligned}
\begin{aligned}
= 1\frac{1}{4}
\end{aligned}
4. Evaluate
\begin{aligned}
\sqrt{0.00059049}
\end{aligned}
- 0.00243
- 0.0243
- 0.243
- 2.43
Answer: Option B
Explanation:
Very obvious tip here is, after squre root the terms after decimal will be half (that is just a trick), works awesome at many questions like this.
5. Evaluate
\begin{aligned}
\sqrt{10+\sqrt{25+\sqrt{108+\sqrt{154+\sqrt{225}}}}}
\end{aligned}
- 16
- 8
- 6
- 4
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}