Radical Expressions

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Radical Expressions

• Simplifying Square Roots

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Square roots

• Square roots are one type of _______ __________.
• When asking for the square root of 36 you are
  asking for a number that, when ________ by ______
  equals ____.

radical
expression
multiplied
itself
36
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radical sign
radicand
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Simplifying Radical Expressions

• All of the following must be true
• The radical has no perfect square factors other
  than 1. (Twins)
• The radicand has no fractions.
• There are no square roots in any denominator.

We just work with this today
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Simplify the Square Roots
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• What about ?

• 50 is not a _______ _______.

square
perfect

• so we will simplify 2 methods
• You choose which you prefer.

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Simplify Square Roots Method 1

• Factor out the perfect square roots

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Simplify Square Roots Method 2-Helpful when
you dont know perfect squares!

• Factor the number in the radicand down to prime
  numbers and simplify. (Look for twins)

50
2
25
5
5
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Simplify

• Method 1

• Method 2

54
2
27
3
9
3
3
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Simplify

• Method 1

• Method 2

48
2
24
2
12
2
6
2
3
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What about
No Perfect Square Factors No twins!
Leave it as it is
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Your turn! Simplify Using Either Method
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HOMEWORK Write these out on your own paper
before you leave class.
Simplify the radicals..Show your work!!!