Rational Exponents

Simplify

100

3√32 + 2√50

22√2

200

√125 - 2√20

√5

300

√28 + 4√63 - 2√7

12√7

400

6√40 - 2√90 - 3√160

-6√10

500

6√45y² + 4√20y²

26y√5

Multiply

100

(4 - √3)(2 + √3)

5 + 2√3

200

(3 - √11)(4 - √11)

23 + √11

300

(3√2 - 2√3)²

30 - 12√6

400

(3√y - √5)(2√y + 5√5)

6y + 13√5y - 25

500

(√x - √3)(√x + √3)

x - 3

Rationalize the Denominator

100

4 + √27 over 2 - 3√27

89 + 42√3 over -239

200

4 + √6 over √2 + √3

2√3 - √2

300

√27 - √5 over √15 - 3

3√5 + 2√3 over 3

400

3 - √10 over √5 - √2

√5 - 2√2 over 3

500

2 + √14 over √7 + √2

√2

Simplify the Expression

100

36^1/2

6

200

27^1/3

3

300

10^1/2 x 10^1/2

10

400

(-3)^1/3 x (-3)^1/3 x (-3)^1/3

-3

500

3^1/4 x 27^1/4

3

Write in Radical Form

100

x^1/6

Index 6 √x

200

x^2/7

Index 7 √x²

300

y^-9/8

1 over index 8 √y⁹

400

x^1.5

√x³

500

y^1.2

index 5 √y⁶