Solving quadratic equations by finding square roots Square root of a number All positive real numbers have two square roots: a positive square root (called principal square root) and a negative square root. x2 = 16, what can x be whenever we have a variable squared and we take the square root we must account for both positive and negative + + if d > 0 then x2 = d has two solutions, x = Solve Ex 1) 3x2 48 = 0 Title: Feb 107:26 AM (1 of 4) + if b2 = a then b is the square root of a Square roots if 32 = 9 then 9 = 3 Rational numbers include perfect square roots non perfect square roots are irrational Can you name some perfect square roots? Title: Mar 147:31 AM (2 of 4) Simplest Radical Form this is what you do when it is NOT a perfect square root Properties of radicals ab To be in simplest radical form, NO number beneath the radical can have a PERFECT SQUARE as one of its factors!!!!!!!!!!!!!!!!!!!!!!!!! = NO radicals appear in the denominator!!!! Put all answers in simplest radical form Ex 1) 8 ex 3) 72 Ex 5) 32 Ex 2) 18 Ex 4) 3 Assignment page 514, numbers 4 7, and 10 33. Title: Apr 217:16 AM (3 of 4) 18) from test Title: May 29:29 AM (4 of 4)

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