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akash

· started a discussion

· 1 Months ago

q (Question: 193698.0 )

solution plz

Question:
Which is the greatest in \(\sqrt[6]{4}, \sqrt[5]{5}, \sqrt[6]{6}, \sqrt[3]{2}\), is–
Options:
A) \(\sqrt[6]{6}\)
B) \(\sqrt[6]{4}\)
C) \(\sqrt[5]{5}\)
D) \(\sqrt[3]{2}\)
Solution:
Ans: (c) 

Knowledge Expert

· commented

· 1 Months ago

Dear Student,

4^1/6 , 5^1/5, , 6^1/6, 2^1/3

4^1/6*30 , 5^1/5*30, , 6^1/6*30, 2^1/3*30

4^5 , 5^6 , 6^5, 2^10

64, 15625, 7776, 1024

Now see which one is greatest, obviously 15625 is greatest, so 5 root 5 is the correct answer.

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