G8 Jeopardy - Oct. 24

Fractional Exponents

100

DOUBLE POINTS

Simplify sqrt(4n^1/2)^1/2

Simplify sqrt(4n^1/2)^1/2

2^1/2n^1/8

200

Simplify sqrt((9x)^1/2)

Simplify sqrt((9x)^1/2)

3^1/2x^1/4

300

Simplify the 3rd root of (64n³)

Simplify the 3rd root of (64n³)

4n

Solve

100

(x + 5)² = 1/2

(x + 5)² = 1/2

x = -5 +/- sqrt(1/2)

200

(x - 10)² = 2

(x - 10)² = 2

x = 10 +/- sqrt(2)

300

(n + 1/3)² = 1/5

(n + 1/3)² = 1/5

n = -1/3 +/- sqrt(1/5)

400

(n + 1/2)² - 2n = 6

(n + 1/2)² - 2n = 6

(n² + n - 2n + 1/4) = 6

n² - n = 6 - (1/4)

(n - 1/2)² = 6

n = 1/2 +/- sqrt(6)