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Published byAllen Tate
Modified over 8 years ago
Warm - up Simplify 1. 2. 3.4.
Essential Questions: (1). How do I multiply radical expressions:
Product Property of Square Roots For any numbers a and b, where a ≥ 0 and b ≥ 0, then Examples: Find each product and write your answer in simple radical form: (1). (2).
(5). Try these with your partner: (6).
(7). Try these with your partner: (8).
In the following examples, we will use the distributive property to multiply (very similar to operations with polynomials!). (9). (10).
Try these with your partner: (13). (14). (15).
Try these with your partner: (16).
Warm Up Simplify each expression
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A property of mathematics says that square roots can be distributed over multiplication. That means a radical such as can be written as.
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Write the radical expression in simplest form.
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In order to add or subtract radicals: All radicals must be simplified. Then, you combine “like” terms. Square-root expressions with the same radicand.
Including Rationalizing The Denominators. Warm Up Simplify each expression
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6.3 Binomial Radical Expressions P You can only use this property if the indexes AND the radicands are the same. This is just combining like terms.
Objective Students will add, subtract, multiply, divide, and simplify radicals.
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