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Thursday, January 16 th. Warm Up. Simplify each expression 1. 2. . EOCT QUESTION 4. Homework Answers . Name all Perfect squares from: 1-225. How do you know when radicals are simplified?!?!. 1. No radicand can have a perfect Square Factor 2. 3. Candy Toss. Irrational or Rational.
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Thursday, January 16th Warm Up Simplify each expression 1. 2.
How do you know when radicals are simplified?!?! 1. No radicand can have a perfect Square Factor 2. 3.
Candy Toss
Irrational or Rational 15.34
Irrational or Rational 4.378….
Today • Adding & Subtracting Radicals • Multiplying Radicals
Let’s Think about it… Circle the terms you can combine? 4x, 4y, 6v, 7x, 6v, -3x, 5y Why can you combine these terms together? They’re like terms How do you combine these terms? Adding or subtracting
Combining simple Radical Expressions Like radicals= same radicand You can COMBINElike radicals using addition and subtractions 3√6 + 8√6 3+8√6 11√6 In words Example
Simplifying Before Adding or Subtracting Factor the radicands using perfect squares If the radicands are alike combine If the radicands are NOT alike then leave it √12 + √24 √3(4) + √6(4) √3 √4 + √6 √4 2√3 + 2√6 Can’t combine; not like terms In words Example
You Try! √45 - √20 4√12 + √27 √125b +3√20b -√45b
Recipe for Multiplying Example: • Multiply what’s OUTSIDE • Multiply what’s INSIDE (Radicands) • Simplify the Radicand
Taking it a step further! Hints: Think of it as: 2x • 3x 2. Take it Step by Step Don’t forget to SIMPLIFY the radicand!! You Try!
Distributing With Radical Expressions Example: • Distribute “outside” Radical to EVERYTHING inside the parantheses (Remember to talk to everyone at the party) • Simplify all radical Expressions