Adding/Subtracting Radicals

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Presentation transcript:

Adding/Subtracting Radicals Brought to you by the most Radical teacher, Mr. Peter Richard

Adding and Subtracting Radicals Radicals that represent the square root of the same number can be treated as a common factor. Examples: Radicals representing square roots of different numbers can not be gathered like this. But simplifying sometimes results in multiples of the same radical, which can be. Examples: Like terms can be gathered. Unlike terms can not.

Radicals ARE simplified Simplify radicals if possible Combine coefficients Radicals ARE simplified

Just like when adding variables, you can only combine like radicals. 1. Simplify. Just like when adding variables, you can only combine like radicals. 5 √5

Which are like radicals? 4 √7 +3 √3 2. Simplify. Which are like radicals? 4 √7 +3 √3

Practice

Simplify each radical. 4√9•3 - 2√16 • 3 + 2√4•5 4 • 3√3 - 2 • 4√3+2 • 2√5 12√3 - 8√3 + 4√5 4√3 + 4√5

Some More 4 u 2 do!

Simplify The Radicals! Quiz: Page 382/383 # 2, 4, 6, 28, 30 Homework # 5, 7, 9, 29, 31