Solve Quadratic Equations by Finding Square Roots

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Section 4.5
Solve Quadratic Equations by Finding Square Roots
Properties of Square Roots
Product Property
Quotient Property
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• Simplifying Square Roots
• All perfect squares have been factored out.
• There are no square roots in the denominator.
• Ex 1 Simplify

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Ex 2 Simplify the following
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• Rationalizing the Denominator
• A fraction is simplified when there are no
  radicals in the denominator.
• If there is a radical in the denominator we must
  remove it by rationalizing the denominator.
• CONJUGATES are expressions of the form
• and
• Example
• When conjugates are multiplied together they
  eliminate the radical.
• Lets give it a try

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Ex 3 Simplify the following a. b.
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Ex. 4 Simplify completely To get rid of the
radical multiply by its conjugate! a.
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Solving Quadratic Equations Using Square Roots Ex
5 Solve the equation. a. b.
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Ex 6 Solve
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• Homework
• 269
• (3, 5, 7, 11, 12, 14, 18,
• 20, 22, 26, 28, 32, 36)