Algebra II (Lesson 4.5 ~ 2013­2014).notebook
November 19, 2013
Algebra II (Lesson 4.5 ~ 2013­2014).notebook
November 19, 2013
Breaking Apart a Square Root
When we take the square root of a number we will have two answers:
one positive and one negative
4.5
Solve Quadratic Equations by Finding
Square Roots
Ex: √9 = 3 and -3
x
This expression is called a radical
The symbol itself is called a radical sign
x
Properties of Square Roots (a > 0, b > 0)
The number under the radical sign is called a radicand
Simplifying Square Roots
* There cannot be a radical in the denominator
80
6
21
4
81
7
16
Algebra II (Lesson 4.5 ~ 2013­2014).notebook
Simplify the Expression
November 19, 2013
What if the Square Root is in the Denominator
Eliminating a square root in the denominator is called rationalizing
p. 267
Conjugates: product is always
a rational number
Rationalize the Following Expressions
Simplify the Expression
Algebra II (Lesson 4.5 ~ 2013­2014).notebook
November 19, 2013
Solving a quadratic equation
Solving a quadratic equation
You will have two answers: one positive one negative
we use the symbol ± (read plus or minus) to represent both numbers
Solve for x
To solve a quadratic equation, get x alone
3x2 + 5 = 41
Algebra II (Lesson 4.5 ~ 2013­2014).notebook
Assignment #5
p. 269
4-18 even, 19, 23-33 odd, 34,
38
use page 268....read "modeling
dropped objects"
November 19, 2013