Algebra II : Solving and Graphing Radicals

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #31 : Solving And Graphing Radicals

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract two from both sides.

Simplify the equation.

Square both sides.

Add  on both sides.

Subtract  on both sides.

The answer is:  

Example Question #32 : Solving And Graphing Radicals

Solve:  

Possible Answers:

Correct answer:

Explanation:

Add four on both sides to isolate the radical.

Simplify both sides.

Square both sides.

Subtract two from both sides.

Divide by nine on both sides.

The answer is:  

Example Question #33 : Solving And Graphing Radicals

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Add 19 on both sides.

Simplify both sides.

Square both sides.

Add three on both sides.

Divide by two on both sides.

Reduce the fractions.

The answer is:  

Example Question #34 : Solving And Graphing Radicals

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Square both sides of the equation.

Simplify both sides.

Add nine on both sides.

Divide both sides by negative three.

Simplify both fractions.

The answer is:  

Example Question #35 : Solving And Graphing Radicals

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract six from both sides.

Square both sides.

Add  on both sides.

Subtract 16 from both sides.

Divide by three on both sides.

The answer is:  

Example Question #36 : Solving And Graphing Radicals

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Add three on both sides.

Divide by negative one to isolate the radical.

The equation becomes:  

Square both sides.

Divide by negative nine on both sides.

The answer is:  

Example Question #37 : Solving And Graphing Radicals

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Solve by first subtracting 16 on both sides.

The equation becomes:

Square both sides.

Subtract three on both sides.

Divide by five on both sides.

The answer is:  

Example Question #38 : Solving And Graphing Radicals

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract six from both sides.

Simplify both sides.

Cube both sides to eliminate the cube root.

Divide by three on both sides.

The answer is:  

Example Question #39 : Solving And Graphing Radicals

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Simplify by first subtracting 16 on both sides.

Raise both sides by the fourth power.

Expand the binomial.

Subtract three from both sides.

Divide by three on both sides.

The answer is:  

Example Question #40 : Solving And Graphing Radicals

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

To eliminate the radical, we will need to cube both sides of the equation.

The equation becomes:

Add  on both sides.

Subtract 27 from both sides.

This answer is valid after re-substituting back to the original equation.

The answer is:  

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