6.11 Solving Radical Equations

Multiple Choice

Solve, check the solution and identify any extraneous solutions.
$$3\sqrt[3]{x+2}=12$$

• 0

• 62

• no solution

• 66

Multiple Choice

Solve, check the solution and identify any extraneous solutions.
$$3\ \sqrt[]{\left(6-x\right)}+4=-8$$

• 0

• 62

• no solution

• -10

Multiple Choice

Solve, check the solution and identify any extraneous solutions.
$$\sqrt[]{4x-7}=\sqrt[]{3x+9}$$

• 4

• -16

• no solution

• 16

Multiple Choice

Solve, check the solution and identify any extraneous solutions.
$$349=\sqrt[]{\left(13-4x\right)^3}+6$$

• 4

• -9

• no solution

• 16

Multiple Choice

Solve the following equations. Then, check for extraneous solutions.

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

• 6, 3

• no solution

• 6

• 3

Multiple Choice

Solve the following equations. Then, check for extraneous solutions.

$$-\ \sqrt[]{1-x}+x+5=0$$

• -8, -3

• no solution

• -8

• -3

Multiple Choice

Solve the following equations. Then, check for extraneous solutions.

$$90=3\ \sqrt[3]{x^5}-6$$

• 3

• no solution

• 8

• -3

Multiple Choice

Solve the following equations. Then, check for extraneous solutions.

$$\sqrt[]{7x-14}=\sqrt[]{5x+4}$$

• 9

• no solution

• -9

• 6