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IM 8.8.5 Lesson: Reasoning About Square Roots

Check all of the TRUE statements.

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What two whole numbers does each square root lie between? Explain your reasoning.

Can we do any better than “between 3 and 4” for ? Explain a way to figure out if the value is closer to 3.1 or closer to 3.9.

The numbers x, y, and z are positive, and x²=3, y²=16, and z²=30. Plot x, y, z and -√2 on the number line. Be prepared to share your reasoning with the class.