1. 1. In firefighting, a good water stream can be modeled by y= - 0.003x 2 + 0.62x + 3 where x is the water's horizontal; distance in feet and y its its corresponding height in feet. What is the maximum height of the firefighters stream? How far would he be from that max height? 2. At Best Buy, they sell 42 copies of Transformers when they charge $20 per copy. They conclude that for each $2 decrease in price they will sell 4 more copies. What should they charge to maximize revenue? What is their maximum revenue? How many copies would they sell? Algebra II 1

2. Simplifying Square Roots Algebra II

3.  radical symbol  the radical expression  x is called the radicand  the radicand is simply what is “underneath” the radical symbol Algebra II 3

4. For all real numbers a and b, the product property of radicals is: For all real numbers a and b, the quotient property of radicals is: **Goes both ways!** separate or put together Algebra II 4

5. 1 2 = 1 2 2 = 4 3 2 = 9 4 2 = 16 5 2 = 25 6 2 = 36 7 2 = 49 8 2 = 64 9 2 = 81 10 2 = 100 11 2 = 121 12 2 = 144 13 2 = 169 14 2 = 196 15 2 = 225 16 2 = 256 17 2 = 289 18 2 = 324 Algebra II 5

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12.  You can not have a √ in the denominator  Multiply both the numerator and denominator by radical from the denominator. Algebra II 12

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20.  They must have like radicals to be able to add and subtract!  SIMPLIFY FIRST!! 20 Algebra II

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