Lesson 7-1: Radical Expressions Objectives Students will: Find square roots of numbers Find n-th root of numbers.

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Lesson 7-1: Radical Expressions Objectives Students will: Find square roots of numbers Find n-th root of numbers

Square Root The square root of a is c if c 2 = a → if There are 2 square roots of positive numbers: c 2 = aand(-c) 2 = a Principle Square Root :,when the positive square root is wanted Negative Square Root:,when the negative square root is wanted Example 1 Find the square roots of each: 49225

Radicals: is called a radical sign Any expression with this sign is a radical expression The expression under the is the radicand Radical Property The square root of a perfect square is the absolute value of the value being squared (principle square root) Example 2

N-th Roots means c 3 = a → c is the “cube root” Can have 4 th roots, 5 th roots,…. is the n-th root of a number Activity - Find the following: Is there a pattern with the answers and the n-value?

N-th Root Property, when n is even (always +), when n is odd (can be + or -), does not exist when n is even Determine domain of a root.

Examples: 3)Give the roots of 169 4)Simplify 5)Simplify 6)Simplify 7)Simplify 8) Find domain:

assignment 7-1/ / 2-64e