4.5 “Square Roots”Product Property: = ·
= · = 3
Quotient Property: =
= =
Examples:
More Examples
4. ·
5. 3· 2
Rationalizing the DenominatorSimplify the following: Remember…you cannot have a radical sign in the denominator of your final answer!!!!
10.
11. **If there is a binomial in the denominator, multiply by the conjugate (opposite sign)**
Rationalizing Examples12.
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Rationalizing Examples with Conjugates16.
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Solve a Quadratic EquationSolve the following:
20. 3x2 + 5 = 41
Steps:
1. Isolate the squared term
2. Take the square root of each side
3. Simplify the radical
4. Answer should be ±
Solving Quadratic Equation Examples21. 5x2 = 80
22. z2 – 7 = 29
23. 3(x – 2)2 = 72
Word ProblemsWhen an object is dropped, its height (in feet) above the ground after t seconds can be modeled by the function… h = -16t2 + h0
h0 = initial height (in feet)
t = time (in seconds)
For a science project, students must design a container that prevents an egg from breaking when dropped from 50 feet. How long does it take it to hit the ground?