Radical Expressions and Equations Jeopardy Game

Solving Radical Equations

100

3√6x = 12

8/3

200

√(5x - 6) = 12

30

300

-5 + √(x² + 81)  = 10

x = -12, 12

400

√(x+1) = x - 1

3

500

-1 + √(2x+1) = -3

No Solution

Radical Equations #2

100

_3√(x + 5)  = 4

59

200

_3√(x + 5)  =-3

-32

300

√(6x) - √(4x +25)= 0

25/2 or 12.5

400

√(x+7) - 5 = x

-3

500

What is the area of a right triangle if its base is 4 meters and its hypotenuse is 12 meters?  Write your answer in simplest radical form.

16√2 square meters

Adding Radicals

100

Simplify 4√32+3√2

19√2

200

Simplify 3√125 - 6√5

9√5

300

Simplify 3√18 + 5√50 - 2√32

26√2

400

Simplify 5√7 + √77 + √343

√77 + 12√7

500

Simplify 2√44 + 8√99 - √176

24√11

Multiplying radicals

100

Simplify √(316 ) * √(316 )

316

200

Simplify 3√12(6 + 5√3)

90 + 36√3

300

Simplify √125x²y⁴  using absolute value signs if needed.

5|x|y²√5

400

8√24 * √8

64√3

500

Simplify (4 + 2√3)(6 - 4√3)

- 4√3

Combination (adding and multiplying radicals)

100

Simplify 2 √5 * (√6 + 2)

2 √30 + 4 √5

200

Simplify (6 + 2√6)(6 - 2√6)

12

300

Simplify (√5 + √8) (√45 + √8)

23 + 8√10

400

Simplify √6(4√12 + 5√8)

24√2 + 20√3

500

Simplify (3√20 + 4√25)(4√5 - 3√4)

44√5