Unit 3b (1) Review - Simplifying Radicals & Solving w/ Square Roots

Perfect Squares

100

SqRoot of 144?

12

200

SqRoot of 400?

20

300

SqRoot of (50+50)?

10

400

SqRoot of 196?

14

500

SqRoot of 225?

15

Simp. Radicals

100

Simplify: SqRoot of 24

4*6

2 root 6

200

Simplify: SqRoot of 44?

4*11

2 root 11

300

Simplify: SqRoot of 80?

16*5

4 root 5

400

Simplify: SqRoot of 72?

36*2

6 root 2

500

Simplify: SqRoot of 128?

64*2

8 root 2

Simp. Radicals i

100

Simplify: SqRoot of -25

5i

200

Simplify: SqRoot of -81

9i

300

Simplify: SqRoot of -18

9*2

3i root 2

400

Simplify: SqRoot of -52

4*13

2i root 13

500

Simplify: SqRoot of -242

121*2

11i root 2

Solving w/ Square Roots

100

x² = 49

x= 7,  x = -7

200

x² + 10 = 74

x= 8,  x= -8

300

x² - 90 = 31

x= 11,   x= -11

400

2x² - 83 = 45

2x² = 128

x² =64

x = 8,  x= -8

500

-3x² = -96

x² = 32

(16*2)

x= +4 root 2,  x= -4 root 2

Solving w/ SqRoots - difficult

100

(x+14)² = 64

x+14 = 8    and    x+14 = -8

x= -6   and   x = -22

200

(x-5)² =49

x-5 = 7      and      x-5 = -7

x = 12   and  x = -2

300

-2(x - 7)² = -200

x-7 = 10    and   x-7 = -10

x = 17  and  x = -3

400

3(x + 1)² -14 = 61

(x + 1)² = 25

x+1 = 5   and   x+1 = -5

x = 4  and  x = -6

500

3(x+5)² - 12 = 36

(x+5)² =16

x+5 = 4   and   x+5 = -4

x = -1  and  x = -9