Question

conjugate of 1 - √3

Answer 1

\[1+\sqrt{3}\]

Answer 2

so conjugate means nothing but the opposite???

Answer 3

opposite only for the second term

Answer 4

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

Answer 5

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\[\lim_{x \rightarrow 4} (\sqrt{x})-2/(x-4)\]

Answer 6

okay i understand