Which of the following is the largest?
A. \(\sqrt[6]{6}\)
B. \(\sqrt[3]{3}\)
C. \(\sqrt{2}\)
D. \(\sqrt[4]{5}\)
A. \(\sqrt[6]{6}\)
B. \(\sqrt[3]{3}\)
C. \(\sqrt{2}\)
D. \(\sqrt[4]{5}\)
Best answer
Answer: D. \(\sqrt[4]{5}\)
Answer: (D) \(\sqrt[4]{5}\)
Raise all to the 12th power (LCM of 2, 3, 4, 6): \(\sqrt{2} \to 2^6 = 64\), \(\sqrt[3]{3} \to 3^4 = 81\), \(\sqrt[4]{5} \to 5^3 = 125\), \(\sqrt[6]{6} \to 6^2 = 36\).
The largest is \(\sqrt[4]{5}\).
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