Algebra II : Solving and Graphing Radicals

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #51 : Solving Radical Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

In order to solve this equation, first add five on both sides.

The equation becomes:  

Cube both sides.

Simplify both sides of the equation.

Add one on both sides.

Divide both sides by seven.

The answer is:  

Example Question #52 : Solving Radical Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract six from both sides.

Simplify the equation.

Take the fourth power of both sides.

Subtract six from both sides.

Divide by two on both sides.

Reduce the fractions.

The answer is:  

Example Question #53 : Solving Radical Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract two from both sides.

Square both sides.  Use the FOIL method to simplify the right side.

Combine like terms.

The term  can be rewritten as:  

Divide by two on both sides.

The answer is:  

Example Question #54 : Solving Radical Equations

Solve the radical equation:  

Possible Answers:

Correct answer:

Explanation:

Add three on both sides.

Square both sides of the equation.

Add 8 on both sides.

Divide by four on both sides.

The answer is:  

Example Question #55 : Solving Radical Equations

Solve the radical equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract five from both sides.

The equation becomes:

Raise both sides by the power of four to eliminate the radical.

Subtract 16 on both sides.

Divide by two on both sides.

The answer is:  

Example Question #56 : Solving Radical Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Add three on both sides.

Divide by 8 on both sides.

The answer is:  

Example Question #51 : Solving Radical Equations

Evaluate:  

Possible Answers:

Correct answer:

Explanation:

Raise both sides by the power of three.

Subtract three from both sides.

Divide both sides by negative nine.

The answer is:  

Example Question #58 : Solving Radical Equations

Solve:  

Possible Answers:

Correct answer:

Explanation:

Subtract two from both sides.

Raise both sides by the fourth power.  This will eliminate the radical.

Add  on both sides.

Subtract 81 on both sides.

The answer is:  

Example Question #59 : Solving Radical Equations

Solve the radical equation:  

Possible Answers:

Correct answer:

Explanation:

Square both sides to eliminate the radical.

Convert the negative exponent into a fraction.

Multiply by nine on both sides to eliminate the fraction.

Subtract 63 on both sides.

Divide by 54 on both sides.

Reduce the fraction.

The answer is:  

Example Question #60 : Solving Radical Equations

Solve the radical:  

Possible Answers:

Correct answer:

Explanation:

Square both sides to eliminate the radical.

The equation becomes:

Divide by five on both sides and combine the product of x-variables.

Cube root both sides.

The answer is:  

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