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Published byAsher Summers Modified over 3 years ago

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**How do you find square roots? How do you estimate square roots?**

Essential Questions: How do you find square roots? How do you estimate square roots?

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**Vocabulary Perfect Square: A number whose square roots are integers.**

Square Root: one of the equal factors that makes up the square. Uses the “√ ” symbol Has a positive and negative solution Principle Square Root: the positive square root

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Squares & Square Roots Squares and square roots are inverse operations because they are opposites.

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**Finding Squares List the squares up to 30. 12 = 112 = 212 = 22 = 122 =**

222 = 32 = 132 = 232 = 42 = 142 = 242 = 52 = 152 = 252 = 62 = 162 = 262 = 72 = 172 = 272 = 82 = 182 = 282 = 92 = 192 = 292 = 102 = 202 = 302 =

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**Finding Squares List the squares up to 30. 12 = 1 112 = 121 212 = 441**

22 = 4 122 = 144 222 = 484 32 = 9 132 = 169 232 = 529 42 = 16 142 = 196 242 = 576 52 = 25 152 = 225 252 = 625 62 = 36 162 = 256 262 = 676 72 = 49 172 = 289 272 = 729 82 = 64 182 = 324 282 = 784 92 = 81 192 = 361 292 = 841 102 = 100 202 = 400 302 = 900

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Finding Square Roots To find a square root, think backwards from squaring. “What number times itself makes this number?”

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**Simplify each root below and identify as a**

positive root or a negative root.

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**Rational & Irrational Rational Roots: real number answers**

Irrational Roots: estimated decimal answers

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Estimating To estimate square roots, find the two roots the number is between.

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**Determine what two consecutive integers each**

irrational root lies between.

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Estimating Practice

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Application

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Summary Answer the essential questions in detailed, complete sentences. How do you find square roots? How do you estimate square roots? Write 2-4 study questions in the left column to complete the notes.

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= 9 = 8 = 12 = 19 = 2 = 3 = 17 = 5 = 11 = 5.

= 9 = 8 = 12 = 19 = 2 = 3 = 17 = 5 = 11 = 5.

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