Square Roots Objective I can simplify radicals I can use the square root property to solve equations

Square Root Basics Simplify each expression A)√25 B)√x 2 C)√(x+2) 2 D)√(25)(64) E)Describe in your own words what it means to take the square root of an expression.

Find a perfect square factor of 32. Simplify each expression. Example 2: Simplifying Square–Root Expressions Product Property of Square Roots A. Quotient Property of Square Roots B.

OYO Simplify each expression A. B. Find a perfect square factor of 48. Product Property of Square Roots Quotient Property of Square Roots Simplify.

Simplify the following expression A) √7 2 – (3)(3) B) If a = 1 b = 3 and c = 2 find √b 2 – 4ac

Read as “plus or minus square root of a.” Reading Math Why must we include both the plus and the minus?

Solve the equation. Example 1A: Solving Equations by Using the Square Root Property Subtract 11 from both sides. 4x = 59 Divide both sides by 4 to isolate the square term. Take the square root of both sides. Simplify. x 2 = 12 4x 2 = 48

Solve the equation. Example 1B: Solving Equations by Using the Square Root Property x x + 36 = 28 Factor the perfect square trinomial Take the square root of both sides. Subtract 6 from both sides. Simplify. (x + 6) 2 = 28

Check It Out! Example 1a 4x 2 – 20 = 5 Solve the equation. 4x 2 = 25 Add 20 to both sides. Divide both sides by 4 to isolate the square term. Take the square root of both sides. Simplify.

Check It Out! Example 1b x 2 + 8x + 16 = 49 Solve the equation. (x + 4) 2 = 49 x = –11, 3 Factor the perfect square trinomial. Take the square root of both sides. Subtract 4 from both sides. Simplify. x = –4 ±

Solve the following for a. a 2 + 2ab + b 2 = 25 Challenge Question