Radical Expressions & Equations Jeopardy!

Simplify the Radical Expression

100

√64

What is 8?

200

∛8

What is 2?

300

√x⁷

What is x³√x?

400

√28x⁹y⁶

What is 2x⁴y³√7x?

500

∛80x⁷y⁵

What is 2x²y∛10xy²?

Simplify Each Product

100

√4 *√4

What is 4?

200

√2 *√9

What is 3√2?

300

√10x  * -4√6x²

What is -8x√15x?

400

-5√10n (3n - √10)

What is -15n√10 + 50?

500

(-1 + 2√3) (2 - 3√3a)

What is -2 + 3√3a + 4√3 - 18√a?

Simplify Each Sum or Difference

100

3√7 + 5√7

What is 8√7?

200

-2√5x + 3√20x

What is 4√5x?

300

2√24m - 2√54m

What is -2√6m?

400

√75x³ - √27x³

What is 2x√3x?

500

4∛8x² - 6∛27x²

What is -10∛x²?

Convert to Radical or Rational Exponents

100

7^1/2

What is √7?

200

(∜5x)⁵

What is (5x)^5/4?

300

(10n)^2/3

What is (∛10n)²?

400

1/(√3k)⁵

What is (3k)^-5/2?

500

(6v)^1.5

What is (√6v)³?

Solving Radical Equations

100

√2x = 6

What is x=13?

200

√x - 3 = 6

What is x=81?

300

√8x - 1 + 4 = 8

What is x = 2.125? 

400

∛(1/4)x + 3 = 2

What is x=20?

500

∜w - 4 + 11 = 14

What is w=85?