Unit 3 Test Review

Simplifying

100

-√(160mn)

-4√(10mn)

200

-4√(64x³y³)

-32xy√(xy)

300

3√(32x⁴y⁴)

12x²y²√(2)

400

-8√(243x⁵y⁴)

-72x²y²√(3x)

500

The lengths of the legs of a right triangle are 8 and 10 inches. How long is the hypotenuse? (simplest radical form)

2√(41)

Add/Sub

100

3√(54) +2√(24)+2√(6)

15√(6)

200

3√(45)-2√(20)-√(18)

5√(5)-3√(2)

300

-√(20)+2√(5)-3√(2)

-3√(2)

400

√(50x³)+√(200x³)

15x√(2x)

500

√(49x³)- 2x√(4x)

3x√(x)

Multiply

100

√(6) x √(8)

4√(3)

200

-√15(-4√3+5)

12√(5) - 5√(15)

300

5√3(3+4√3)

15√3+60

400

(-5√7+7)(-2√7+1)

77 - 19√7

500

(-2√7-6√3)(5√7+4√6)

-70 - 8√42 - 30√21 -7

Division

100

(2√9)/(2√25)

3/5

200

(4-√3)/(4√3)

(√3/3) - (1/4)

300

[√(20x)+√(50x)]/[√(x³)]

(2√5)/(x) + (5√2)/(x)

400

[4√(5p⁴)]/[5√(3p³)]

[4√(15p)]/[15]

500

[√(6x³y³)]/[√(10x²y³)]

[√(15x)]/[5]

Equations

100

3=√v

9   

200

x=√2x

0,2

300

7=√7r

7

400

√(4r-7) = r-1

2,4

500

x-8 = √(8-x)

8