Which of the following is the value of \(\sqrt{^3\sqrt{0.000064}}\)? GMAT Problem Solving

Question: Which of the following is the value of \(\sqrt{^3\sqrt{0.000064}}\) ?

1. 0.004
2. 0.008
3. 0.02
4. 0.04
5. 0.2

“Which of the following is the value of \(\sqrt{^3\sqrt{0.000064}}\) ?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide 2017”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

Solution and Explanation:

Approach Solution 1:

There is only one approach to solve this problem.

It is given that \(\sqrt{^3\sqrt{0.000064}}\)

We can further write it as \({^6\sqrt{0.000064}}\) and \(2^6\) = 64

In the next step we can eliminate all zeros before the decimal and after the decimal would be 12 decimal places. 0.2 is 6 which is exactly required.
Hence the answer is 0.2.

Correct Answer: E

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