Solving Radical Equations

Solving Radical Equations

​Solving Radical Equations.

​When Solving Radical Equations, follow these steps.

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​1. Get the radical by itself on one side of the equation.

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​2. Raise both sides of the equation to the power of the index.

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​3. Solve.

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​* Always check your answers.

Multiple Choice

Solve

• 102
• 12
• 98
• 7

Multiple Choice

Solve

• -14
• 14
• no solution
• 28

Multiple Choice

$$\sqrt[]{4x\ +9}+6=\ 3$$

• No Solution

• 0

• -3

• 4.5

Multiple Choice

Solve the equation.

• n = 27

• n = 18

• n = -18

• n = 36

Multiple Choice

$$\sqrt[4]{2x\ +\ 1}-4\ =\ -2$$

Solve for x.

• x=7.5

• x= 15

• x = - 5

• No Solution

​Solving Radical Equations

​If an equation is written with a rational exponent, re-write the equation with a radical and solve.

Multiple Choice

Solve. (3x - 5)^1/4 + 3 = 4

• 4/3

• 2

• -2

• -4/3

Multiple Choice

Solve. (2x - 5)^1/3 = 3

• 16

• 3

• 7

• no solution

Multiple Choice

Solve for x:
(x + 2)^1/2 - 5 = -2

• 1
• 5
• 7
• 9

Multiple Choice

(3x - 4)^1/4 + 3= 1

• -3

• 20/3

• 4

• No Solution