10.1 Square Roots Objective: students will learn about square roots and how to use them to evaluate problems.

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Presentation transcript:

10.1 Square Roots Objective: students will learn about square roots and how to use them to evaluate problems.

Information 64 144 132 22 Square: 52 = 25 Square root: √25 = 5 -√25 = -5 ±√25 = ±5 Every positive number has 2 roots Radical sign √ Zero is own root If a √ has a negative, it’s not possible!!! Ex: √-25 64 144 132 22

Find the square or a number and root of number-st 172 62 142 √256 ±√225 -√81

Evaluate

Approximate square roots Perfect square: number that’s square of integer 22 = 4 (4 perf. sq.) To do: Find closest perfect square both sides Square root evaluate

Approximate square root √51 √151

Approximate square root-st √200 -√79 √39 √12.3

Use Calculator-rd. nearest tenth t,st √5 -√24 √74 √20.3 √135 -√27

Evaluating radicals 2√a + b2, when a = 11 and b = 5

Evaluate radicals. Given a = 30 and b = 6 √a + b - 11 Evaluate radicals. Given a = 27 and b = 3 -3√ab

Evaluating Expressions 1 and 2 step Square Roots Divide Coefficient (if needed) Square root both sides a2 = 9 x2 = 81 5y2 = 110 2j2 = 18

Evaluating Expressions-st m2 = 676 c2 = 121 3y2 = 75 2c2 = 200

Wrap-up Questions/Comments Hw: wkbk. Pg. 133