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Lesson 2 4th

March 07, 2014

Lesson 2 - Division and Radicals
I. Review
A. 35
C. 5 7

B. 35
D. 7 5

A. 6 5
C. 25 6

B. 6 25
D. 5 6

A. 49
C. 7

B. 7 7
D. 7

A. 64
C. 8 8

B. 8
D. 8

II. Rationalizing Denominators
Just like when we solve 5x = 11 and we get
where we must solve:

for x, it will happen

we will get

This answer is correct, but it is considered bad etiquette to leave a
radical in the denominator. So how can we change a number's "look"
without changing its value?
Multiply by the number 1!
But we will use a "magic" number 1 to do this!
Lesson 2 4th

March 07, 2014

Examples:

2.

1.
3.

4.

6.
5.
Lesson 2 4th

March 07, 2014
7.

9.

8.
Lesson 2 4th

March 07, 2014

III. Conjugates
Def: A conjugate is when you change the middle sign of a binomial
Ex. The conjugate of a + b is a - b

State the conjugates of:

a. h + k
b.
c.
d.

What happens if we multply something by its conjugate?
or not?
Pick two, what happens if you multiply a binomial times itself?
Times its conjugate?

a. h + k
b.
c.
d.
Lesson 2 4th

March 07, 2014

Examples:

1.

2.

IV. Quadratic Formula Review
At times, we would get answers when doing the quadratic formula, as
below, let's practice simplifying them to proper forms:
Think - 1. Simplify Radical

1.

2. Find a GCF

2.

3. Reduce
Lesson 2 4th

March 07, 2014

3. Solve using the quadratic formula

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Dividing Radicals, Rationalizing the Denominator

  • 1. Lesson 2 4th March 07, 2014 Lesson 2 - Division and Radicals I. Review A. 35 C. 5 7 B. 35 D. 7 5 A. 6 5 C. 25 6 B. 6 25 D. 5 6 A. 49 C. 7 B. 7 7 D. 7 A. 64 C. 8 8 B. 8 D. 8 II. Rationalizing Denominators Just like when we solve 5x = 11 and we get where we must solve: for x, it will happen we will get This answer is correct, but it is considered bad etiquette to leave a radical in the denominator. So how can we change a number's "look" without changing its value? Multiply by the number 1! But we will use a "magic" number 1 to do this!
  • 2. Lesson 2 4th March 07, 2014 Examples: 2. 1. 3. 4. 6. 5.
  • 3. Lesson 2 4th March 07, 2014 7. 9. 8.
  • 4. Lesson 2 4th March 07, 2014 III. Conjugates Def: A conjugate is when you change the middle sign of a binomial Ex. The conjugate of a + b is a - b State the conjugates of: a. h + k b. c. d. What happens if we multply something by its conjugate? or not? Pick two, what happens if you multiply a binomial times itself? Times its conjugate? a. h + k b. c. d.
  • 5. Lesson 2 4th March 07, 2014 Examples: 1. 2. IV. Quadratic Formula Review At times, we would get answers when doing the quadratic formula, as below, let's practice simplifying them to proper forms: Think - 1. Simplify Radical 1. 2. Find a GCF 2. 3. Reduce
  • 6. Lesson 2 4th March 07, 2014 3. Solve using the quadratic formula