10-2 Simplifying Radical Expressions

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radical expressions - expressions containing radicals

A radical expression is simplified when:

• There are no perfect squares (except for 1) in the radicand• No radicands contain fractions• No radicals are in the denominator of a fraction

Product Property

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Multiply square roots, then simplify.

Quotient Property

Why does this not make sense?

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Denominators have to be rational, so to get rid of a radical, we square it, or multiply it by itself. But we mustn't change the value of the fraction, so whatever we do on bottom, we do on top.

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Rationalize the denominator using conjugates.

BIBLICAL PERSPECTIVE:  God's reliability and the revelation of His ways help us cooperate with and steward His creation. Quadratic, exponential, and radical relationships are found throughout creation. In today's lesson, we find radical functions used to describe velocity and electrical current. Understanding the pieces of these relationships, algebraic analysis, isessential for safely, confidently, and efficiently executing the dominion mandate.

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