2.4 Operations with Square Roots

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Operations with Square Roots Lesson Sept 25 and Sept 29 2014

Transcript of 2.4 Operations with Square Roots

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2.4 Operations with Square Roots.notebook

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2.4 Operations with Square Roots

What does 32 mean? What does 52 mean?

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Definition: A square root is a number that when multiplied by itself equals a given number.

Example: Use the definition to explain the square root of 4

We use the √ symbol to indicate a square root. Therefore....

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We can visualize what a square root is. For example, the diagram below represents √9

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Perfect squares are numbers that can be expressed by two equal integers.

For example, 4 is a perfect square... 4 = 2 x 2

Here are the perfect squares that you should know...

1

4

9

16

25

36

49

64

81

100

121

144

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You can find the square root of any number by estimating. We estimate by finding how that number relates to the two nearest perfect squares...

Example:

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You try!

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You try!

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We can also determine the square roots of fractions!! The best way to do this is to look at an example...

Find

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We can do square roots of decimals if we think of them as fractions...

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Problem:A square garden has an area of 19 m2. Estimate then calculate the side length of the garden.

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Problem:A frame measures 30 cm by 20 cm. Can you mount a square picture with an area of 500 cm2 in the frame? Explain why or why not.

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