## anonymous 5 years ago conjugate of 1 - √3

1. anonymous

$1+\sqrt{3}$

2. anonymous

so conjugate means nothing but the opposite???

3. anonymous

opposite only for the second term

4. anonymous

so what do you do when you rationalize? the denominator?

5. anonymous

you would use the conjugate to rationalize the denominator in a rational function -- meaning a fraction so for example x/(x+3) this fraction would be undefined at -3...but if you multiply by the conjugate top and bottom (x-3)/(x-3) which is a sneaky way of multiplying by one depending on what is really in the numerator it can help cancel out terms ...so far from what I have seen it is used mostly for limit problems$\lim_{x \rightarrow 4} (\sqrt{x})-2/(x-4)$

6. anonymous

okay i understand