Finding the square root
What is the square root of 16?
4
Simplify the square root of 72
6 SR(2)
SR (4 x 16)
8
What is The Product Property of Square Roots and why is it an essential tool in simplifying radical expressions?
The product property of square roots states:
SR of (ab) is the same as
SR (a) x SR (b)
y2 = 25
y1 = 5
y2 = -5
What is the square root of 49?
7
SR (147)
7 SR(3)
SR (16 x 16)
16
In order to simplify a radical expression, you want to factor out the....
largest possible perfect square
3x2 = 36
Answer 1: -2 SR(3)
Answer 2: 2 SR(3)
What is the square root of 121?
11
SR(360)
6 SR(10)
SR (16 x 16 x 16)
4 x 4 x 4
or 64
You know you have completely simplified the expression when the number under the radical doesn't have any....
perfect square factors
(r-3)2 = 25
Answer 1: 8
Answer 2: -2
What is the square root of 196?
14
3 SR(90)
9 SR(10)
SR (16^8)
4^8
Why does SR (81) have two solutions?
There is a positive and negative answer. -9 x -9 = 81
and 9 x 9 = 81
4m2 - 96 = 0
m1 = 2 SR(6)
m2 = -2 SR(6)
What is the square root of 225?
15
-20 SR(2)
SR (16^9)
4^9
2q2 - 72 = 0
q1 = 6
q2 = -6