A1Y2 Chapter 10 Review

Prime Factors

100

What is a PRIME factor?

PRIME factors are numbers whose only multiples are 1 and itself

200

List the PRIME factors for 54

2, 3, 3, 3

300

List the PRIME factors of 71

1, 71 (it's prime!)

400

List the PRIME factors of 450

2, 3, 3, 5, 5

500

List the PRIME factors of 99x³y⁴

3, 3, 11, x, x, x, y, y, y, y

Simplifying Radicals

100

Simplify as far as possible √49

7

200

Simplify as far as possible √50

5√2

300

Simplify as far as possible 2√40

2*2√10

4√10

400

Simplify as far as possible √43w²

w√43

500

Simplify as far as possible √99x³y⁴

√3*3*11*x*x*x*y*y*y*y

3*x*y*y√11*x

3xy²√11x

Multiplying Radicals

100

Multiply and Simplify √3 * √2

√6

200

Multiply and Simplify

√15*√5

√75

√25*3

5√3

300

Multiply and Simplify

2√3 * √8

2√24

2√4*6

2*2√6

4√6

400

Multiply and Simplify

3√6 * 2√30

6√180

6√9*4*5

6*3*2√5

36√5

500

Multiply and Simplify

3√10 * 4√40

3*4√10*40

12√400

12*20

2400

Simplifying Radical Fractions

100

How do you get rid of a radical in your denominator?

Multiply top AND bottom by that radical! It creates a whole number on the bottom and the top is treated like a regular multiplication problem.

200

Simplify as far as possible

sqrt(9/25)

(read as the square root as 9/25)

3/5

300

Simplify as far as possible

sqrt(14/16)

sqrt(14)/4

400

Simplify as far as possible

sqrt(25/6)

(5sqrt(6))/6

500

Simplify as far as possible

sqrt(48/24)

sqrt(2)

Adding/Subtracting Radicals

100

Combine like terms and Simplify

3√7+8√7

11√7

200

Combine like terms and Simplify

4√5 + 3√7 - 7√5 +6√7

-3√5 + 9√7

300

Combine like terms and Simplify

5√3 + 2√27

5√3 + 2*3√3

5√3 + 6√3

11√3

400

Combine like terms and Simplify

10√5 +8√3 + 2√11 + √45 - √99

10√5 + 8√3 + 2√11 + 3√5 -3√11

13√5 + 8√3 - 1√11

500

Combine like terms and Simplify

4√3x + 2√75y - 2√3y + 2√12x

4√3x + 2*5√3y - 2√3y + 2*2√3x

4√3x + 10√3y - 2√3y + 4√3x

8√3x + 8√3y