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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}

Similar Questions :

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

  • 14
  • 26
  • 16
  • 36

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}

2. \begin{aligned}
\sqrt{41 - \sqrt{21 + \sqrt{19 - \sqrt{9}}}}
\end{aligned}

  • 4
  • 26
  • 16
  • 6

Answer: Option D

Explanation:

\begin{aligned}
= \sqrt{41 - \sqrt{21 + \sqrt{19 - 3}}}
\end{aligned}

\begin{aligned}
= \sqrt{41 - \sqrt{21 + \sqrt{16}}}
\end{aligned}

\begin{aligned}
= \sqrt{41 - \sqrt{21 + 4}}
\end{aligned}

\begin{aligned}
= \sqrt{41 - \sqrt{25}}
\end{aligned}

\begin{aligned}
= \sqrt{41 - \sqrt{25}}
\end{aligned}

\begin{aligned}
= \sqrt{41 - 5}
\end{aligned}

\begin{aligned}
= \sqrt{36} = 6
\end{aligned}

3. \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

4. Evaluate
\begin{aligned}
\sqrt{6084}
\end{aligned}

  • 75
  • 77
  • 78
  • 68

Answer: Option C

5. 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.

Read more from - Square Root and Cube Root Questions Answers