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## 5.6.1 – Square Root Method

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**Recall, we solved “quadratic equations” when we set a**polynomial equation equal to 0 • Example. x2 + 5x + 6 = 0**In some cases, we can use a special method to solve the**equations • So far we have used factoring, calculators, quadratic equation**Properties of Square Roots**• Before we start to solve them using the new method, there are some basic properties of square roots we should know • Product Property; • Quotient Property; • In a fraction, you may not have a radical in the denominator (bottom)**Simplifying/Rationalizing**• To simplify a radical expression, we will look for any perfect square roots we could pull out • Perfect Roots = 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121,… • If there are no perfect roots to pull out, then the expression is considered simplified**Example. Simplify**• Perfect root that is a factor of 18? • Example. Simplify**Example. Simplify**• Example. Simplify**Rationalizing**• If a fraction has a square root in the denominator, we will eliminate the radical by rationalizing • For a number a, = a • To eliminate the radical, multiply top and bottom by the radical itself • Be sure to simplify the top as necessary**Example. Simplify the expression**• Example. Simplify the expression**Example. Simplify the expression**• Example. Simplify the expression**Simplify the following expressions together.**• 1) • 2) • 3) • 4)**Assignment**• Pg. 258 • 18 – 44 even