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4.5 “Square Roots”

4.5 “Square Roots”. Product Property: = · = · = 3 Quotient Property: = = =. Examples:. More Examples. · 3 · 2. Rationalizing the Denominator. Simplify the following: R emember…you cannot have a radical sign in the denominator of your final answer!!!! 10. .

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4.5 “Square Roots”

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  1. 4.5 “Square Roots” Product Property: = · = · = 3 Quotient Property: = = = Examples:

  2. More Examples • · • 3· 2

  3. Rationalizing the Denominator Simplify the following: Remember…you cannot have a radical sign in the denominator of your final answer!!!! 10. **If there is a binomial in the denominator, multiply by the conjugate (opposite sign)**

  4. Rationalizing Examples 12. 13. 14. 15.

  5. Rationalizing Examples with Conjugates 16. 17. 18. 19.

  6. Solve a Quadratic Equation Solve the following: 20. 3x2 + 5 = 41 Steps: • Isolate the squared term • Take the square root of each side • Simplify the radical • Answer should be ±

  7. Solving Quadratic Equation Examples • 5x2 = 80 • z2 – 7 = 29 23. 3(x – 2)2 = 72

  8. Word Problems When 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?

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