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

## Presentation on theme: "How do you find square roots? How do you estimate square roots?"— Presentation transcript:

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?

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

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

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 =

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

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

Simplify each root below and identify as a
positive root or a negative root.

Rational & Irrational Rational Roots: real number answers

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

Determine what two consecutive integers each
irrational root lies between.

Estimating Practice

Application

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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