Question

How do i rationalize A DENOMENATOR????

Answer 1

what's the fraction?

Answer 2

multiply it with reverse sign

Answer 3

what they really mean by "rationalize" it is, get rid of any roots there

Answer 4

so, \(\frac{1}{\sqrt{2}}\) will have a "rationalized" version of \(\frac{\sqrt{2}}{2}\)

Answer 5

1. Multiply Both Top and Bottom by a Root
2. Multiply Both Top and Bottom by the Conjugate

Answer 6

on that one, you use the "conjugate" of it

http://www.mathsisfun.com/algebra/images/conjugate.gif

Answer 7

There is another special way to move a square root from the bottom of a fraction to the top ... you multiply both top and bottom by the conjugate of the denominator.

The conjugate is where you change the sign in the middle of two terms:

Answer 8

Example Expression Its Conjugate
x^2 - 3 x^2 + 3

Another Example Its Conjugate
a + b^3 a - b^3