 Learning Objectives:

To simplify a quotient involving radicals, we do something called rationalizing the denominator. This actually will not feel a lot like division, but it is how we handle division with radicals. For a single-term denominator, in math tutoring, we will multiply the numerator by a single radical that makes the denominator a perfect nth root. If the denominator involves a sum or difference, then we will multiply the numerator and denominator by the conjugate of the denominator.  When dividing radical expressions, the rules governing quotients are similar: .To divide radicals, we must divide the numbers outside (O) the radicals and then divide the numbers inside (I) the radicals. If a radical appear in the denominator of a fraction, to simplify the expression we have to remove the radicals by rationalizing.

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Hook Questions:

1.    How do you multiply radicals?

3.    How do you divide expressions?

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