Question Detail

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

  • \begin{aligned} 1\frac{2}{5} \end{aligned}
  • \begin{aligned} 1\frac{3}{5} \end{aligned}
  • \begin{aligned} 1\frac{4}{5} \end{aligned}
  • 1

Answer: Option B

Explanation:

\begin{aligned}
= \sqrt[3]{\frac{512}{125}} \end{aligned}
\begin{aligned}
= (\frac{8*8*8}{5*5*5})^{\frac{1}{3}} \end{aligned}

\begin{aligned} = \frac{8}{5} = 1\frac{3}{5} \end{aligned}
Similar Questions :

1. \begin{aligned} \sqrt{\frac{32.4}{x}} = 2 \end{aligned}

  • 8
  • 8.1
  • 9
  • 9.1

Answer: Option B

2. 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}

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

  • \begin{aligned} 1\frac{2}{5} \end{aligned}
  • \begin{aligned} 1\frac{3}{5} \end{aligned}
  • \begin{aligned} 1\frac{4}{5} \end{aligned}
  • 1

Answer: Option B

Explanation:

\begin{aligned}
= \sqrt[3]{\frac{512}{125}} \end{aligned}
\begin{aligned}
= (\frac{8*8*8}{5*5*5})^{\frac{1}{3}} \end{aligned}

\begin{aligned} = \frac{8}{5} = 1\frac{3}{5} \end{aligned}

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

  • 24.3
  • 2.43
  • 0.243
  • 0.0243

Answer: Option D

5. The least perfect square, which is divisible by each of 21, 36 and 66 is

  • 213414
  • 213424
  • 213434
  • 213444

Answer: Option D

Explanation:

L.C.M. of 21, 36, 66 = 2772

Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11

To make it a perfect square, it must be multiplied by 7 x 11.

So, required number = 2 x 2 x 3 x 3 x 7 x 7 x 11 x 11 = 213444

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