Algebra II : Solving and Graphing Radicals

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #91 : Solving Radical Equations

Solve:  

Possible Answers:

Correct answer:

Explanation:

Add three on both sides.

The equation becomes:  

Square both sides to eliminate the radical.

Add three on both sides.

Divide by three on both sides.

The answer is:  

Example Question #92 : Solving Radical Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Divide by four on both sides.

Cube both sides to eliminate the radical.

Add three on both sides.

Divide by negative two on both sides.

The answer is:  

Example Question #93 : Solving Radical Equations

Solve:  

Possible Answers:

Correct answer:

Explanation:

Add 16 on both sides.

Divide both sides by negative one.

Square both sides.

Subtract eight on both sides.

The answer is:  

Example Question #94 : Solving Radical Equations

Solve:  

Possible Answers:

Correct answer:

Explanation:

Square both sides in order to eliminate the radical.

Add 5 on both sides.

Divide by negative two on both sides.

Reduce both fractions.

The answer is:  

Example Question #95 : Solving Radical Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Add six on both sides.

Square both sides to eliminate the radical.

Divide both sides by three.

The answer is:  

Example Question #96 : Solving Radical Equations

Solve the radical:  

Possible Answers:

Correct answer:

Explanation:

Square both sides of the equation to eliminate the radical.

The equation becomes:  

Subtract two from both sides.

Divide by negative three on both sides.

The answer is:  

Example Question #97 : Solving Radical Equations

Evaluate:  

Possible Answers:

Correct answer:

Explanation:

Multiply by half on both sides.

Cube both sides to eliminate the radical.

Divide both sides by negative two.  This is the same as multiplying by negative half on the right side.

Reduce both fractions.

The answer is:  

Example Question #98 : Solving Radical Equations

Solve the radical equation:  

Possible Answers:

Correct answer:

Explanation:

Multiply both sides by the denominator to eliminate the fraction on the left side.

The equation becomes: 

Square both sides to eliminate the radical.

Distribute the 36 into the binomial.

Subtract  and add 324 on both sides of the equation.

The equation becomes a parabola, which can be factored.

The value of .  Check this value to see if substitution will satisfy the domain in the original equation.

 is valid since there is no negative in the radical, and there is not a zero denominator.

The answer is:  

Example Question #99 : Solving Radical Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract both sides by five.

Square both sides.

Divide by negative nine on both sides.

The answer is:  

Example Question #100 : Solving Radical Equations

Solve the radical equation:   

Possible Answers:

Correct answer:

Explanation:

Add the radical on both sides.

The equation becomes:  

Subtract 1 on both sides.

Cube both sides to eliminate the radical.

Divide by four on both sides.

The answer is:  

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