Solving Equations with Square & Cube Roots

Square Roots

100

√16

 4

200

9² = ?

81

300

11² = ?

What is 121

400

√225

 15

500

√-144

12i or no Real Number solutions

Cube Roots

100

³√27

What is 3

200

4³ = ?

What is 64

300

2³ = ?

What is 8

400

³√-125

What is -5

500

³√1000

What is 10

Estimating the Square Roots

100

What two positive whole numbers does √55 fall between?

7 and 8

200

What two positive whole numbers does √82 fall between?

9 and 10

300

What two positive whole numbers does √38 fall?

6 and 7

400

What two positive whole numbers does √20 fall?

4 and 5

500

What two positive whole numbers does  √90 fall?

9 and 10

Solving Square Root Equations

100

x² = 64

x = +/- 8

200

3x² = 48

x = +/- 4

300

3x² + 12 = 87

x = +/- 5

400

2x² - 8 = 42

x = +/- 5

500

x²/3 + 7 = 34

x = +/- 9

Solving Cube Root Equations

100

x³ = 216

x = 6

200

x³ = -512

x = -8

300

x³/4 - 14 = 40

x = 6

400

x³/10 + 12 = 112

x = 10

500

3x³ + 1 = -23

x = -2