Review Ch 5.1 & 5.2 on Radicals

Simplifying Radicals

100

√18

3√2

200

√24

2√6

300

√4x²y¹⁰

2xy⁵

400

√50x

5√2

500

2√147

14√3

Dividing Radicals

100

(4√12) / (2√6) 

2√2

200

(6√28) / (3√7)

4

300

(√160) / (√5)

4√2

400

(24√75) / (18√3)

20/3

500

(15√48) / (10√4)

3√3

Adding Radicals

100

2√2+2√2

4√2

200

9+√99

9+3√11

300

5√12+7√27

31√3

400

9√11+3√24+√99+10√54

12√11+36√6

500

22√500-9+2√45-3√12+2-5√27

226√5-7-21√3

Multiplying Radicals

100

(2√2)(2√2)

8

200

(9√7)(2√3)

18√21

300

(2√8)(3√5)

12√10

400

(5√4)(2√9+10√3)

60 + 100√3

500

(8√3)(3√5 - 2√6)

24√15 - 32√3

Subtracting Radicals

100

6√3-3√3

3√3

200

4√24-2√6

4√6

300

4√24-√16-5√54

-7√6-4

400

6√12-2√45-2√27-√20

6√3-8√5

500

2√12+5-5√54+7√27-12+8√24

25√3-7+√6