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Rational Equations #1
Radical Equations #1
Radical Equations #2
Radical Equations #3
Rational Exponent Equations #3
100

The solution(s) of: (3x-5)^1/4+3=4 

What is: x = 2

100

The solution(s) of: sqrt(5x+6) = x

What is: x=6

100
The solution(s) of: 2(x - 3)^1/2 + 1 = 7
What is: x = 12
100

The solution(s) of: 0.5(x + 2)^1/2 = 1

What is: x = 2

100

The solution(s) of: x^(3/2) = 8

What is: x = 4

200

The solution(s) of: (2x-5)^1/3=3 

What is: x = 16

200

The solution(s) of: sqrt(4x-3)=5

What is: x = 7

200

The solution(s) of: (7x -12)^1/2 = x 

What is: x = 4,3

200

The solution(s) of: (x + 3)^1/2 = 2

What are: x = 1

200

The solution(s) of: x^2 - 3x - 1 = 0

What are: x = (-3 +/- root 29) / 2

300

A number that is obtained by solving an equation correctly, but is not actually a solution.

What is an extraneous solution?

300

sqrt(-3x+10) - sqrt(-7x+38) = 0

x = 7

300

The imaginary number i is defined as the square root of -1.

Why can you not take the second root of a negative number?

300

What is the fifth root of -32?

-2

300
1) (the cubed root of 8)^2 = 2^2 = 4; 2) the cubed root of (8^2) = the cubed root of 64 = 4
What are two ways to simplify: 8^2/3
400

The solution(s) of: (2x-8)^2/3 = 4 

What are: x = 8,0

400

The solution(s) of: sqrt(12x-47) - sqrt(2x+23)=0

What is: x = 7

400

The solution(s) of: -2(x + 4)^1/2  + 5= -7

What is: x = 32

400

The solution(s) of: (2x - 1)^1/2 = x

What are: x = 1,1

400
The solution(s) of: x^(4/3) - 13x^(2/3) + 36 = 0
What are: x = +/- 27, x = +/- 8
500

The solution(s) of: (6x-3)^2/3 + 6 = 15 

What are: x = 5, -4

500

The solution(s) of: sqrt(-9x-14)=0

What is: -14/9

500

The solution(s) of: (x^2 + 5x + 12)^1/3 = 2

What are: x = -4, -1

500

The solution(s) of: (5x^2 + 14x)^1/3 = x

What are: x = 7, -2, 0

500

The solution(s) of: x^(7/6) - 16x^(1/2) + 3x^(2/3) - 48 = 0

What are: x = 9 (extraneous); x = 64