(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 20190121 12:18:18 