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Published byDennis Harper Modified over 4 years ago

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Start Bellwork #

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Chapter 11-1 p.560 Square Roots and Irrational Numbers

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1 2 3 The square of an integer is a perfect square. The opposite of squaring a number is taking the square root.

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Example For example asks what number multiplied by itself is equal to 81? That number is 9. Is there another solution to that problem?

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Example For example asks what number multiplied by itself is equal to 81? That number is 9. Is there another solution to that problem? Yes, -9 is also a solution.

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Simplify each square root

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10

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Simplify each square root 10 -4

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Squares and roots Here is a list that will be helpful:

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Do you see that squares and square roots are inverses (opposites) of each other?

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Estimating square roots Once we have memorized these squares and their roots, we can estimate square roots that are not perfect squares For example, what about ?

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Estimating square roots We find the two perfect squares that are before and after the square root of 8... and Look at them on a number line: 2 3

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Estimating square roots We can see that is between 2 and 3 but is closer to 3. We would say that is approximately 3. 2 3

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TRY THIS: Estimate to the nearest whole number

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5

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5 -9

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TRY THIS: Estimate to the nearest whole number 5 -9 7

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Rational number - can be written as a fraction Irrational number - cannot be written as a fraction because: it is a non-terminating decimal it is a decimal that does NOT repeat * The square roots of ALL perfect squares are rational. * The square roots of numbers that are NOT perfect squares are irrational.

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Try This: Identify each number as rational or irrational

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Irrational

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Try This: Identify each number as rational or irrational Irrational Rational

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Try This: Identify each number as rational or irrational Irrational Rational

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Try This: Identify each number as rational or irrational Irrational Rational

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Try This: Identify each number as rational or irrational Irrational Rational Irrational

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Agenda PA#48 P.562 #16-35 Print out CAT 6 review from my website or teacherweb.com (P.9-30)

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