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- \(6^{24}\)
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The correct answer is D.
\(\sqrt[6]{x} = 6 → (\sqrt[6]{x})^6 = 6^6 → X = 6^6\)
\(\sqrt{x^6} = \sqrt{(x^6)^6} = \sqrt{x^{36}} = x^{18}\)
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