5-5 Roots of Real Numbers Objective: To simplify radicals having various indices, and to use a calculator to estimate the roots of numbers. HW: 5-5 Study.

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Presentation transcript:

5-5 Roots of Real Numbers Objective: To simplify radicals having various indices, and to use a calculator to estimate the roots of numbers. HW: 5-5 Study Guide #

Drill #56 Factor the following polynomials

Tourism Open books to page 281.

(24.) Square Root ** Definition: For any real numbers a and b, if then a is a square root of b or We can also write square roots using the ½ power.

(25.) Cube Root ** Definition: For any real numbers a and b, if then a is a cube root of b or We can also write cube roots using the 1/3 power.

(26.) nth Root ** Definition: For any real numbers a and b, if then a is a nth root of b or We can also write nth roots using the power.

(27.) Principal Root Definition: When there is more than one real root of a number, the non-negative root is the principal root  Principal Root  Negative Root  Both

Evaluating Roots of Monomials To find a root of a monomial, split the monomial into a product of the factors, and evaluate the root of each factor. Examples:

Even Roots When evaluating even roots (n is even) use absolute values.

Roots of negative numbers