chapter 7.4 adding and subtraction and multiplying radical expressions.notebook
April 10, 2017
Bellwork:
Homework Questions???
Solve by factoring:
1) 3x2 + 75 = 30x
2) 4b2 ­ 49 = 0
3) Write the equation of the line parallel to 2x + 3y = 9 and passes through the point (6, ­5)
Simplify:
4)
5)
Apr 1­10:28 AM
Apr 1­9:25 AM
Adding and Subtracting Radicals
You can only combine like radicals.
Chapter 7.4 Adding, Subtracting and Multiplying Radical Expressions
Add or subtract radical expressions and use the distributive property to multiply radical expressions.
Like radicals have the same index and radicand.
SIMPLIFY 1ST
To combine like radicals, add the coefficients and keep the same radicand.
Apr 1­10:37 AM
Apr 1­10:44 AM
Simplify radical expressions by combining like radicals.
Like Radicals
Example
Unlike Radicals Are the following like or unlike terms and why?
a.
b. Apr 1­10:49 AM
c.
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chapter 7.4 adding and subtraction and multiplying radical expressions.notebook
April 10, 2017
Before we add and subtract radicals, check to see if they can be simplified.
1) Add or Subtract. Assume the variables represent positive real numbers. a.
2) Add or Subtract. Assume the variables represent positive real numbers. b.
a.
c.
d.
b.
Apr 1­4:17 PM
We can multiply radical expressions by using many of the same properties to multiply polynomial expressions.
Use the distributive property: Apr 1­4:19 PM
3) Use the distributive property to multiply the following expressions. a.
b. Mar 29­9:58 AM
Mar 29­10:01 AM
4) Multiply by using the distributive property.
We can also distribute using the FOIL method. Make sure to combine like terms when you finish.
a.
b.
c. Mar 29­10:01 AM
Mar 29­10:01 AM
2
chapter 7.4 adding and subtraction and multiplying radical expressions.notebook
April 10, 2017
Homework
P. 440­441 #1­9, 17­25, 47­55 (odds)
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Apr 3­1:01 PM
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