1. In firefighting, a good water stream can be modeled by y= - 0.003x2 + 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

Simplifying Square Roots

Algebra II

radical symbol

the radical expression

x is called the radicandthe radicand is simply what is

“underneath” the radical symbol

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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

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12 = 122 = 432 = 9

42 = 1652 = 2562 = 3672 = 4982 = 6492 = 81

102 = 100112 = 121122 = 144132 = 169142 = 196152 = 225162 = 256172 = 289182 = 324

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You can not have a √ in the denominator

Multiply both the numerator and denominator by radical from the denominator.

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They must have like radicals to be able to add and subtract!

SIMPLIFY FIRST!!

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