Number Properties Puzzle – Challenge 22

Number Properties Puzzle – Challenge 22

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- \(6^{24}\)

The Absolute Best Book to challenge your Smart Student!

The correct answer is D.

\(\sqrt[6]{x} = 6 → (\sqrt[6]{x})^6 = 6^6 → X = 6^6\)
\(\sqrt{x^6} = \sqrt{(x^6)^6} = \sqrt{x^{36}} = x^{18}\)

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