P 3 Radicals and Rational Exponents Ch P

P 3. Radicals and Rational Exponents

Ch. P 3: Radicals and Rational Exponents •

Definitions • Radical sign • Radicand • Radical Expression • Principal Square root • Simplify a square root • Conjugates

RULES for Square Roots The Product Rule The Quotient Rule Adding and Subtracting • If a and b represent nonnegative real number, then • If a and b represent nonnegative real numbers and b does not equal 0, then You may only add “like” radicals

Square Roots of Perfect Squares The principal square root of a 2 is the absolute value of a.

Simplify • with Product & Quotient rule:

Adding/ Subtracting Like Radicals •

APPLY: • Simplify

Let’s go back to yester-year…. •

THE TRICK? RATIONALIZE THE DENOMINATOR

Rationalize • The Denominator

Rationalize with Conjugates •

The End (Day 1) HW: pg. 42 #1 -53 odd

Radicals and Rational Exponents (DAY 2) OTHER POWERS

QUESTION OF THE DAY • WHAT RULES DO YOU ALREADY KNOW ABOUT EXPONENETS? (WARM UP RELATED TO THIS) • THEN Discovery activity (next slide) • HOW ARE RADICALS AND RATIONAL EXPONENTS RELATED TO EACH OTHER?

Expression Numerical Value

• Definitions

Simplify Higher Roots •

Combining Cube Roots •

• Using definition of am/n

Simplifying • Expressions with Rational Exponents