Roots and Rational Exponents
Simplifying Radicals
Factoring with Rational Coefficients
Multiplying or Divide Rational Expressions
Add or Subtract Rational Expressions
100

Evaluate 

641/2

8

100

Simplify completely

sqrt 50

5sqrt(2)

100

Factor out the fractional GCF

1/2x+5/2

1/2(x+5)

100

Simplify and state restrictions

5x2/y X y2/10x

xy/2

restrictions x cannot be 0, y cannot be 0

100

Simplify and state

x/x+2 + 2/x+2

1

x cannot be -2

200

Evaluate

 272/3

9

200

Simplify completely

sqrt 72

6sqrt(2)

200

Factor completely

1/3x2-3

1/3(x-3)(x+3)

200

Simplify and state restrictions

x-5/x2-25

1/x+5

x cannot be +-5

200

Simplify and state restrictions

5/x + 2/3x

17/3x

x cannot be 0

300

Simplify and write in radical form

x3/4 x  x1/2

4sqrt(x5)

300

Simplify by rationalizing the denominator

6/sqrt(3)

2sqrt(3)

300

Factor completely

0.25x2-4

(0.5x-2)(0.5x+2)

or 

1/4(x-4)(x+4)

300

Simplify and state restrictions

x2-9/5 X 10/x-3

2x+6 or 2(x+3)

X cannot be 3

300
Simplify and state restrictions

4/x-1 - 2/x

2x+2/x(x-1)

x cannot be 0,1

400

Evaluate

16-3/4

1/8

400

Simplify the expression

sqrt(20)+sqrt(45)


5sqrt(5)

400

Factor completely 

1/2x2-2x-6

1/2(x-6)(x+2)

400

Simplify and state restrictions

4x2/x+1 divided by 2x/x+1

2x

x cannot be -1,0

400

Simplify and state restrictions

3/x-2 - 1/x+3

2x+11/(x-2)(x+3)

x cannot be 2,-3

500

Simplify completely

(8x3/27y6)-2/3

9y4/4x2

500

Simplify by rationalizing the denominator

4/3-sqrt(5)

3+sqrt(5)

500

Factor completely

5/2x2-14/5x+4

2/5(x-5)(x-2)

500

Simplify and state restrictions

x2-x-6/x2-4 X x+2/x-3

x+2/x-2

x cannot be 2,-2,3

500

Simplify and state restrictions

2/x2-4 + 1/x-2

x+4/(x-2)(x+2)

x cannot be +-2

M
e
n
u