Unit 6 Project

Simplifying Radicals

100

³√(162)

3√(6)

200

³√(-250)

-20√(2)

300

²√(38x³y⁶)

y³√(38x³)

400

⁴√(256x²⁷y¹⁵)

16x⁶y³√(x³y³)

500

⁵√(-773x²y¹⁵)

-y³√(773x²)

Rational Exponents

100

In radical form, what is a 6^1/3

³√(6)

200

In exponential form what is √(18m³)

18^1/2 x^3/2

300

In radical form, what is (-5mn)^4/3

mn ³√(20mn)

400

In exponential form, ⁴√(27x⁹y²)

27^1/4 x^9/4 y^1/2

500

Simplify 8^4/7 x 6^5/4

48^51/28

Adding or subtracting with Radicals

100

11√(28) + 4√(56)

22√(7) + 8√(14)

200

8 ⁴√(48) - 5√(90)

16 ⁴√(3) - 15√(10)

300

2 ⁴√(3) + 3√(72)

2 ⁴√(3) + 18√(2)

400

2 ³√(2) + 7 ³√(16)

16 ³√(2)

500

Daily double

6 √(108) + 9 √(12) + 4 √(48)

70√(3)

Multiplying and dividing with Radicals

100

√(12) x √(27)

18

200

14√(50)/7√(2)

10

300

5√(6x³) x 4√(3x⁵)

60x⁴√(2)

400

√(7x⁵/64y⁵)

x²√(7yx)/8y³

500

8√(15x⁷) x 4√(12y⁶) x 13√(18x¹¹y²)

7488x⁹y⁴√(10)

Transformations

100

√(x+8)-2

Left 8 and down 2

200

-√(x-3)

right 3 and reflected across x-axis

300

-1/3√(x+10)-5

left 10, down 5, Reflected across x axis, and compress by 1/3

400

-0/4 x 5 + √(x+0)-1

Down 1

500

-1/2 x 6 + 5√(x+10) - 5

Left 10, down 5, reflected across x axis, and stretch by 8