Question Detail

The cube root of .000216 is

0.6
0.006
0.06
.0006

Answer: Option C

1. \begin{aligned} \sqrt{\frac{0.081 * 0.484 }{0.0064 * 6.25}} \end{aligned}

0.66
0.77
0.88
0.99

Answer: Option D

2. Evaluate
\begin{aligned}
\sqrt{248+\sqrt{64}}
\end{aligned}

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}

3. 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}

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. The largest four digit number which is a perfect cube, is:

7000
8000
9261
9999

Answer: Option C

Explanation:

21*21*21 = 9261

Question Detail

The cube root of .000216 is

1. \begin{aligned} \sqrt{\frac{0.081 * 0.484 }{0.0064 * 6.25}} \end{aligned}

2. Evaluate \begin{aligned} \sqrt{248+\sqrt{64}} \end{aligned}

3. Evaluate \begin{aligned} \sqrt[3]{\sqrt{.000064}} \end{aligned}

4. Evaluate \begin{aligned} \sqrt{0.00059049} \end{aligned}

5. The largest four digit number which is a perfect cube, is:

2. Evaluate
\begin{aligned}
\sqrt{248+\sqrt{64}}
\end{aligned}

4. Evaluate
\begin{aligned}
\sqrt{0.00059049}
\end{aligned}