1.  Review Quadratics for test re-take
†Tuesday†.
 Simplifying Radicals
 Class/Home Work
Today:
TGIF May 2, 2014
2nd Period

2. Quadratic Formula Test Results

3. Five Most Missed
Questions from
Quadratic Formula Test
What are the roots of xx 48
2
1 2
35% correct

4. Five Most Missed
Questions from Quadratic
Formula Test34% correct
7x2 - x – 13 = -10 7x2 - x – 3 = 0 Use the quadratic formula

5. 33% correct
Solve 3x2 – 13 = 47. Round your solution to the
nearest hundredth.
A. + 3.37 B. + 37.89 C. + 13.21 D. + 4.47 E. None
3x2 =
60
x2 =
20
D
Solve (3x – 17)2
= 28
31% correct 3x – 17 =
3x = 17 + (factor out any perfect
squares)
3x = 17 + 2
(divide by
three)

6. 30% correctFinal
Problem:2p2 + 3p – 9 = 0

7. Quadratic Formula Review
Solve:
This equation is easily
solved by factoring:
(x – 5)(x – 1)
The solutions therefore, are
x = 1 and x = 5

8. Quadratic Formula Review
Solve by rounding to the
nearest hundredth:

9. Class Notes Section of Notebook

10. Square
Roots…
Which leads us
to…

11. Simplifying Radicals
Notice that these properties can be used
to combine quantities under the radical
symbol or separate them for the
purpose of simplifying square-root
expressions.
Separate
Combine
A square-root expression is in simplest
form when the radicand has no perfect-
square factors (except 1) and there are
no radicals in the denominator.

12. Simplify each
expression.
Product Property of
Square Roots
A.
Product Property of
Square Roots
B.
Simplifying Radicals

13. Simplify each
expression.
Quotient Property of
Square Roots
D.
Quotient Property of
Square Roots
C.
Solve ‘D’ above with the numerator and
denominator as separate radicals.
Simplify
numerator first

14. Simplify each
expression.
A.
B.
Find a perfect square
factor of 48.Product Property of
Square Roots
Quotient Property of
Square Roots
Simplif
y.
Simplifying Radicals

15. Simplify each expression.
C.
D.
Product Property of
Square Roots
Quotient Property of
Square Roots
Simplifying Radicals

16. Simplifying Radicals w/Variables
x6y7z3 =Easy
x3y3z yzx•x •x•x •x •x •y •y •y •y •y •y •y •z •z •z =
Describe the process in one word:
Practice:

17. If a fraction has a denominator that is a square
root, you can simplify it by rationalizing the
denominator.
To do this, multiply both the numerator and
denominator by a number that produces a perfect
square under the radical sign in the denominator.
Multiply by a form of 1.
Rationalizing the Denominator

18. Simplify the expression.
Multiply by a form of 1.
Rationalizing the Denominator

19. Simplify by rationalizing the
denominator.
Multiply by a form of 1.
So far, all of our denominators have been monomials.
Monday we will rationalize binomial denominators.

20. Square roots that have the same radicand are called
like radical terms.
To add or subtract square roots, simplify each radical term
and then combine like radical terms by adding or
subtracting their coefficients.
Adding & Subtracting Radicals
You can only add or subtract radicals that have the same
radicand. The coefficients are combined, the radicand
stays the same. (Like the denominator of a fraction)
Example: = 5 ?

21. Add
.
Adding & Subtracting Radicals
Can these radicals be added?

22. Subtract.
Simplify radical terms.
Adding & Subtracting Radicals
Simplify radical terms.

23. Word
Problem
A stadium has a square poster of a
football player hung from the outside
wall. The poster has an area of 12,544
ft2. What is the width of the poster?
112 feet wide

24. Lesson Quiz: Part I
1. Find to the nearest tenth. 6.7
Simplify each expression.
2. 3. 4.
5. 6. 7.
8.

28. In the formulas & definitions section
of your note book, write the square of
each number from 1-15.
†These should be memorized†
What you have is a list of perfect
squares from 1 - 225.
Square
Roots…