Sewanhaka High School
Math 8
Name:__________________________
Mrs. Lidowsky, Principal
Mr. Long, Teacher
Per:____
Date:_____________________
H.W. #73: Ditto
DO-NOW #73:
1)
2) I am thinking of two numbers. One number is three times the other.
Their sum is 12. What are the numbers?
Topic: Radicals and the Right Triangle
Main Idea: Simplifying Radicals
Aim:
RECALL
(
) is building an entertainment
room within his/her house. It will have a big
screen tv with cable, video games, surround
sound, and a DVD player. The floor of the
room is in the shape of a square and (
) wants to place carpeting on it.
What does (
) need to find out
in order to determine how much carpeting to
buy?
Let's say the area of the floor is 400 square
feet. What would each side of the floor be
equal to?
NOTES
Find 16
Find
25
What is 4(5)?
Is it true to say that
400 = 16 •
Is it also true to say that
STATEMENT:
Simplify 50
25 ?
400 = 16  25 ?
The square root of a product of nonnegative numbers is equal
to the product of the square roots of these numbers.
ab a b and a b  ab
Statement:
You can use the properties of square roots to rationalize the denominator of a fraction with a radical. This
involves multiplying the numerator and denominator by a factor that eliminates radicals in the denominator.
Statement:
Drill: Answer the following questions.
Simplify each expression.
1) 18 =
2) 4 75 =
5)
4y3 =
6)
3) ½ 48 =
20 y 5 =
7)
6y
12
4)
8)
=
Summary:
If time:
2
63 =
9)
3
10)
3x 3 =
11)
20n 7 =
18y 2 =
7
3 7
=