Square Root Property

True or False. When solving quadratic equations using the square root property, the first step is to isolate the squared expression.

• True

• False

Give the reason for each step in the following solution of an equation by using the

Square Root Property.

• Factor the perfect square trinomial.

• Square Root Property

• Rewrite as two equations.

• Solve each equation.

Solve using square roots.

k² - 6 = 43

• k = √37

• k = 37 or - 37

• k = 7, k = -7

• no real solution

Solve for h.
(h - 2)² = 9

• h = 5, -1

• h = 5, -5

• h = 5

• h = -1

Solve by taking square roots:
k² - 6 = 43

• k = √37

• k = 37 or - 37

• k = 7, k = -7

• no solution

Solve by taking square roots:
3 + 9r² = 12

• r = 0

• no solution

• r = 3, r = -3

• r = 1, r = -1

• 1

• 2

• 3

• 4

What is a square root

• A number to the second power

• A square that has roots on it

• A number divided by 2

• Square roots are numbers that produce a specified quantity when multiplied by itself
  

Solve by the Square Root method: x² = 16

• ± 4

• ± 8

• 4

• 8

Which is the BEST method to use to solve this equation?

3a² = 27

• Square Root Method

• Factor Method

• Complete the Square

• Quadratic Formula