Multiplying and Dividing Radical Expressions

Warm-Up #121
3/24/17
Wilder’s Wacky
In many classes, a passing test grade is 70. Using the
Category: Ancient History
formula
In 79 AD, the eruption of a volcano, Mount Vesuvius,
destroyed a Roman city. What was the name of this city?
, where A is the adjusted score and R is
the raw score, what raw score would a student need to get
a passing grade after his score is adjusted?
Pompeii
49
Section 6-1 Handout: Roots & Radical Expressions
1. 15a
9
2. 8
3. 1
12
4. (49x )/y
5. t12/r
6. 4x
3
7. ±15
6
8. No real roots
15. ±10/3
9. ±8/13
16. 4|x|
10. 6
17. 3y2
11. -5
18. |x5y7|
12. ⅓
19. 2y2
13. ±2
20. 2|c|
14. No real roots
21. a4|b9|
22. V = 80
volts
Warm-Up #122
3/27/17
● Complete the Section 6-1 Entrance Ticket.
○ You may use your notes and/or Section 6-1
handout, but you MUST work by yourself.
○ This will count as a quiz grade.
○ You may use a calculator, but DO NOT simply plug
the numbers into your calculator. You need to show
work, such as factor trees, to receive full credit.
● When you are finished, raise your hand, and I will
collect your paper.
Simplify the following expressions.
Multiplying and Dividing
Radical Expressions
Section 6-2
3/24/17
EQ: What is needed to simplify a radical expression?
1. (24)(22)
1. 26 = 64
2. 32 · 33
2. 35 = 243
3. (22)(32)
3. (2 · 3)2 = 36
4. 43 · 53
4. (4 · 5)3 = 8000
Multiplying Radical Expressions
Combining Radical Expressions: Products
Simplify the following radical expressions.
If
5.
6
6.
2
7.
2
8.
-2
Multiplying Radical Expressions
2
11.
are real numbers, then
Simplifying a Radical Expression
Simplify the following products if possible.
9.
and
13. What is the simplest form of the following expression?
10.
Can’t
simplify
12.
Can’t
simplify
Simplifying a Product
Simplifying a Product
14. What is the simplest form of the following product?
15. Multiply and simplify the following radical expression.
Wilder’s Wacky
Warm-Up #123
Category: Rap
1. Multiply and simplify the following radical expression.
3/28/17
Born Calvin Broadus, what is the professional/stage name
of this rapper?
How did he get his nickname?
Snoop Dogg
2. Divide and simplify the following.
Combining Radical Expressions: Quotients
If
and
are real numbers and b ≠ 0, then
Dividing Radical Expressions
Simplify the following radical expressions.
16.
17.
18.
19.
Rationalizing the Denominator
Dividing Rational Expressions
When simplifying radical expressions, we sometimes end
up with a radical in the denominator. We must then
rationalize the denominator.
Divide and simplify. Rationalize the denominator if
necessary.
22.
24.
26.
23.
25.
27.
20.
21.
Applying Radical Quotients
The formula
shows the time t that any vehicle takes to
travel a distance s at a constant acceleration a, starting from
rest.
1. What is the time that a car accelerating at 16 m/s2 takes to
travel 200 m?
2. What is the time that a car accelerating at 25 m/s2 takes to
travel 200 m?
3. What is the difference in time between a car accelerating at
16m/s2 and one accelerating at 25 m/s2 for a distance of 200 m?