Rationalize the Denominator If the denominator of an otherwise "simplified"
radical expression should contain an irrational number (a radical that
cannot be simplified), then it is necessary that the denominator be
changed to a rational number. This modification is called
"rationalizing the denominator." Example 1: To "rationalize" the denominator multiply the denominator by so that to maintain the equality of the fraction. So now we would have ... Now the fraction is "fully simplified"
Example 2:
... Notice that the numerator is also a radical, so multiply under Example 3:
... Simplify the numerator and denominator The views and
opinions expressed in this page are strictly those of Mary Lou Baker. This page was edited on 15-Nov-2007 |