**MORE ON DIVISION OF RADICAL EXPRESSIONS**

**Rationalizing Denominators**

Sometimes in mathematics it is useful to find an equivalent expression

without a radical in the denominator. This provides a standard notation for

expressing results. The procedure for finding such an expression is called

**rationalizing the denominator.**We carry this out by multiplying by 1.

**Rationalizing When There Are Two Terms**

Certain pairs of expressions containing square roots, such as c – , c + , and , – , + , are called **conjugates. **The product of such a pair of conjugates has no radicals in it.

Thus when we wish to rationalize a denominator that has two terms and one

or more of them involves a square-root radical, we multiply by 1 using the

conjugate of the denominator to write a symbol for 1.