Question 35667: Without using a calculator, list the numbers square root of 2, cube root of 3, and fifth root of 5 in order from largest to smallest.
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! Without using a calculator, list the numbers square root of 2, cube root of
> 3, and fifth root of 5 in order from largest to smallest.
> A=2^(1/2).......B=3^(1/3).......................C=5^(1/5).RAISE EACH OF THEM TO LCM OF 2,3,5...THAT IS 30..WE GET
A^30=2^15.............B^30=3^10.................C^30=
A^30 =32768
B^30 =59049
C^30 =15625
HENCE B^30 IS GREATEST OR B IS GREATEST...OR..3^(1/3) IS GREATEST
NEXT IS A^30....OR....2^(1/2)
AND LEAST IS 5^(1/5)
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