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priyanka

· started a discussion

· 1 Months ago

answer is A (Question: 193698.0 )

kindly check, the answer should be A

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) 

pradip

· commented

· 1 Months ago

make powers of all terms same by taking lcm of powers and then compare base part the term having greater value will be larger

Knowledge Expert

· commented

· 1 Months ago

Dear student,

Numbers are - (4)^1/6 , (5)^1/5, (6)^1/6, (2)^1/3 here we take LCM of 6,5,6,3 is 30
thus we can write these numbers - (4)^5/30 , (5)^6/30, (6)^5/30, (2)^10/30

now compares the number = (4)^5 , (5)^6, (6)^5, (2)^10
(5)^1/6 is greatest number.

Keep learning with us,
Regards
Team Toprankers.

K Risshi Yadav

· commented

· 1 Months ago

detail solution

pradeep verma

· commented

· 1 Months ago

option c is correct
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