Square Roots Unit 1D Day 17 Do Now What are the factors of x + 2 x 3? Solve for x : x + 2 x 3 = 0 What are the x -intercepts of y = x + 2 x 3? Express your answers as points, ( x, y ). Square Root Vocab. s is a radical. The number under the radical sign is called the radicand The symbol is called the radical sign Plus or Minus If a radical is printed, it is assumed to be positive. 9 = ____ If YOU take a square root to solve an equation, you must include _____________. If x 2 = 9, then x = ____ Ex. 1: Solving a Quadratic Equation with b = 0 Solve 2 x + 1 = Isolate x 2. 2.Take the square root. Dont forget ______________! 3.Simplify if necessary (we will discuss this later). Ex. 2: Solving Quadratic Equations with b = 0 Solve the following. a)2 x + 5 = 41 b) x 2 = 90 c)-25 x = 2 Properties of Square Roots (assuming a and b positive) Product property: Ex. 1: Simplify Quotient Property: Ex. 2: Simplify Ex. 3: Simplify Using Prime Factorization Simplify Ex. 4: Simplify Square Roots Simplify the expression. a) b) c) Ex. 5: Simplify Square Roots with Variables Simplify the expression. a) b) c) Ex. 6 Go back to examples 1 and 2. Simplify your answers if possible.