Goal: Solving quadratic equations by finding square roots

 A number b is a square root of a number a if b 2 = a.  A positive number a has two square roots written √a and -√a. For example 2 2 = 4 and (-2) 2 = 4 the two square roots of 4 are √4 = 2 and - √4 = -2.  √a is a radical  √ is a radical sign  The number a beneath the radical symbol is the radicand

 No radicand has a perfect square factor other than 1  There is no radical in a denominator

 Simplify the expression. a. b.● c.

 To simplify an expression, you must eliminate any radical from the denominator.

 Solve x = 13

 x 2 – 4 = 14  x = 13

 3y 2 = 24  x = 26

 2(x – 5) 2 = 12  ½ (p + 4) 2 = 22