Step-up Rationalization

Algebra Level 2

(21)13(2+1)1+3 \dfrac{\left( \sqrt2-1\right)^{1-\sqrt3}}{\left( \sqrt2+1\right)^{1+\sqrt3}}

If the expression above can be simplified to the form of abca-b\sqrt c, where aa,bb, and cc are positive integers with cc square-free.

What is the value of a+b+ca+b+c?

Image Credit: Wikimedia Trigonometry Triangle by Limaner
×

Problem Loading...

Note Loading...

Set Loading...