# There is an agreement in mathematics that we don’t leave a radical in the denominator of a fraction.

## Presentation on theme: "There is an agreement in mathematics that we don’t leave a radical in the denominator of a fraction."— Presentation transcript:

There is an agreement in mathematics that we don’t leave a radical in the denominator of a fraction.

So how do rationalize a denominator with a binomial containing radicals? (Without changing the value of the fraction, of course.)

Let’s see what happens if we multiply by That didn’t work!

When there is a binomial with a radical in the denominator of a fraction, you find the conjugate and multiply. This gives a rational denominator.

Simplify: Multiply by the conjugate. FOIL numerator and denominator. = = Simplify numerator and denominator.

Simplify · = =