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Extreme Rationalization (Posted on 2019-01-19) Difficulty: 4 of 5
Rationalize the denominator of the fraction

1 / (21/2 + 31/3 + 51/5)

No Solution Yet Submitted by Danish Ahmed Khan    
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Some Thoughts Simply horrendous | Comment 1 of 4
Easily D4:
(108193901 sqrt(2))/867818606 - (22707623 3^(1/3))/433909303 - (28814803 (sqrt(2) 3^(1/3)))/867818606 + (60177529 3^(2/3))/433909303 + (18280543 (sqrt(2) 3^(2/3)))/867818606 + (17156804 5^(1/5))/433909303 + (54164855 (sqrt(2) 5^(1/5)))/867818606 - (12675026 (3^(1/3) 5^(1/5)))/433909303 + (5550819 (sqrt(2) 3^(1/3) 5^(1/5)))/867818606 - (11915681 (3^(2/3) 5^(1/5)))/433909303 - (47502503 (sqrt(2) 3^(2/3) 5^(1/5)))/867818606 - (23435611 5^(2/5))/433909303 - (34244603 (sqrt(2) 5^(2/5)))/867818606 + (14346892 (3^(1/3) 5^(2/5)))/433909303 + (36110637 (sqrt(2) 3^(1/3) 5^(2/5)))/867818606 + (5695933 (3^(2/3) 5^(2/5)))/433909303 - (2431211 (sqrt(2) 3^(2/3) 5^(2/5)))/867818606 + (944953 5^(3/5))/433909303 - (3148973 (sqrt(2) 5^(3/5)))/867818606 - (16480832 (3^(1/3) 5^(3/5)))/433909303 - (15291845 (sqrt(2) 3^(1/3) 5^(3/5)))/867818606 + (8861528 (3^(2/3) 5^(3/5)))/433909303 + (10784899 (sqrt(2) 3^(2/3) 5^(3/5)))/867818606 + (29036563 5^(4/5))/433909303 - (3601201 (sqrt(2) 5^(4/5)))/867818606 + (9446523 (3^(1/3) 5^(4/5)))/433909303 - (12555731 (sqrt(2) 3^(1/3) 5^(4/5)))/867818606 + (885416 (3^(2/3) 5^(4/5)))/433909303 - (18308051 (sqrt(2) 3^(2/3) 5^(4/5)))/867818606 - 18417812/433909303.

Edited on January 20, 2019, 8:41 am
  Posted by broll on 2019-01-20 06:52:20

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