Number Properties Puzzle – Challenge 22
Number Properties Puzzle - Challenge 22 is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.
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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