Check out this great math puzzle and enjoy a brain-bending challenge. The solution is also provided.

## Challenge:

If \(\sqrt[6]{x} = 6\), then \(\sqrt{x^6}=\)?

**A-** \(6\)

**B-** \(6^3\)

**C-** \(6^{9}\)

**D-** \(6^{18}\)

**E-** \(6^{24}\)

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The correct answer is D.

\(\sqrt[6]{x} = 6 → (\sqrt[6]{x})^6 = 6^6 → X = 6^6\)

\(\sqrt{x^6} = \sqrt{(x^6)^6} = \sqrt{x^{36}} = x^{18}\)