Bell%20Ringer

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Bell Ringer

• Use the Pythagorean Theorem to find the length of
  the hypotenuse.

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10.1 Simplifying Square RootsObjectives The
student will be able to
1. simplify square roots
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In the expression , is the radical
sign and64 is the radicand.

• 1. Find the square root
• 8
• 2. Find the square root
• -0.2

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3. Find the square root

• 11, -11
• 4. Find the square root
• 21
• 5. Find the square root

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6. Use a calculator to find each square root.
Round the decimal answer to the nearest
hundredth.

• 6.82, -6.82

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What numbers are perfect squares?

• 1 1 1
• 2 2 4
• 3 3 9
• 4 4 16
• 5 5 25
• 6 6 36
• 49, 64, 81, 100, 121, 144, ...

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Simplify

1. .
2. .
3. .
4. .

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3. Simplify

• Multiply the radicals.

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How do you know when a radical problem is done?

1. No radicals can be simplified.Example
2. There are no fractions in the radical.Example
3. There are no radicals in the denominator.Example

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Simplify.

• Divide the radicals.

Uh oh There is a radical in the denominator!
Whew! It simplified!
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Simplify
Uh oh There is a fraction in the radical!
Since the fraction doesnt reduce, split the
radical up.
How do I get rid of the radical in the
denominator?
Multiply by the fancy one to make the
denominator a perfect square!
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Homework

• Page 539-540
• 12-20 even, 26-30 even, 36-42 even