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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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re(3): Simply horrendous Comment 4 of 4 |
(In reply to re(2): Simply horrendous by broll)

Interesting.


Rationalizing the denominator has been a regular part of Algebra 2 since forever.   I learned it and still teach it.  It is an important trigonometry skill. 

a/sqrt(b)

a/(c+sqrt(b))

(a+bi)/(c+di)

The main importance, in my opinion, that numbers that look different are can actually be equal.  1/(sqrt(2)-1) = sqrt(2)+1 for example.  So having an agreed upon format for the answer is a good thing.

It's not unlike working with reducing fractions in the lower grades.  

Of course, if the expression in the problem came up while working on some other problem, I would leave it alone!

  Posted by Jer on 2019-01-21 12:18:18
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