Perfect Squares & Square Roots

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What is a perfect square?

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A perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, 16, and 25 are perfect squares.

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CCSS.6.EE.A.1

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What is the square root of a number?

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The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 36 is 6 because 6 x 6 = 36.

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CCSS.8.EE.A.2

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CCSS.6.EE.A.1

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CCSS.8.EE.A.2

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Between 10 and 11.

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CCSS.8.NS.A.2

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Between 5 and 6.

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CCSS.8.NS.A.2

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CCSS.8.EE.A.2

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CCSS.8.EE.A.2

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How do you determine the square root of a number?

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To determine the square root of a number, find a value that, when multiplied by itself, equals the original number. This can be done through estimation or using a calculator.

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CCSS.8.EE.A.2

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What is the relationship between perfect squares and their square roots?

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The square root of a perfect square is always an integer. For example, the square root of 49 is 7, which is an integer.