 ## Presentation on theme: "Introduction to Radicals"— Presentation transcript:

Square Roots A square root of any positive number has two roots – one is positive and the other is negative. If a is a positive number, then is the positive square root of a and is the negative square root of a. Examples: non-real #

What does the following symbol represent? The symbol represents the positive or principal root of a number. What is the radicand of the expression ? 5xy

What does the following symbol represent? The symbol represents the negative root of a number. What is the index of the expression ? 3

Cube Roots A cube root of any positive number is positive. A cube root of any negative number is negative. Examples:

nth Roots An nth root of any number a is a number whose nth power is a. Examples:

nth Roots An nth root of any number a is a number whose nth power is a. Examples: Non-real number Non-real number

Simplifying Radicals using the Product Rule
Product Rule for Square Roots Examples:

Simplifying Radicals using the Quotient Rule
Quotient Rule for Square Roots Examples:

Examples:

Simplifying Cube Roots
Simplifying Radicals Simplifying Cube Roots Examples:

Day One Stop Here

Review and Examples: