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

√(2x+1) = x + 1

0

500

-1 + √(2x+1) = -3

No Solution

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  

5xy²√5

400

8√24 * √8

64√3

500

-2√24 * -5√32

160√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

Rationalize the Denominator

100

Rationalize the denominator: 

√2-3√3 / √3

√6-9/3

200

Rationalize the denominator: 

√7 / √3.

√21 / 3

300

Rationalize the denominator:

√5 / √20.

1/ 2

400

Rationalize the denominator:  

7/√6.

7√6 / 6

500

Rationalize the denominator: 

5√2 /√8.

2.5