Question 59008
what number is larger: 
a) sq rt of 7 or cube rt of 19.
7^(1/2) "compared to" 19^(1/3)
Raise both to the 6th power to get:
7^3    "compared to" 19^2
343    "compared to" 361"
Since these lines can be reversed 
7^(1/2) < 19^(1/3)
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 b) cube rt of 4 or 4th rt of 6. 
4^(1/3) "compared to" 6^(1/4)
Raise both to the 12th power to get:
4^4  "compared to" 6^3
256 "compared to" 216
Therefore 4^(1/3)>6^(1/4)
Cheers,
Stan H.
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