Algebra II : Solving and Graphing Radicals

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #41 : Solving And Graphing Radicals

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract seven on both sides.

Square both sides.  This will eliminate the radical on the left side.

Add four on both sides.

Divide by five on both sides.

The answer is:  

Example Question #42 : Solving And Graphing Radicals

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Add three on both sides.

Divide by three on both sides.

Cube both sides to eliminate the radical.  Simplify both sides.

Add three on both sides.  This is the same as adding  on the right side.

Divide by four on both sides.  This is similar to multiplying one fourth on both sides and will isolate the x-variable on the left.

The answer is:  

Example Question #43 : Solving And Graphing Radicals

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

In order to solve this equation, first add 28 on both sides.

Square both sides.

Add three on both sides.

Divide by six on both sides.

The answer is:  

Example Question #44 : Solving And Graphing Radicals

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Cube both sides.

This will eliminate the radical.

Add two on both sides.

Divide by six on both sides.

The answer is:  

Example Question #45 : Solving And Graphing Radicals

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Raise both sides of the equation by five.

Add six on both sides.

Divide by two on both sides.

Simplify both sides.

The answer is:  

Example Question #46 : Solving And Graphing Radicals

Solve:  

Possible Answers:

Correct answer:

Explanation:

Square both sides to eliminate the radical.

The equation becomes:

Add one on both sides.

Multiply two-thirds on both sides to isolate the x-variable.

Simplify both sides.

The answer is:  

Example Question #47 : Solving And Graphing Radicals

Solve:  

Possible Answers:

Correct answer:

Explanation:

Subtract both sides by four.

Multiply by the denominator on both sides.  The equation becomes:

Divide by four on both sides to isolate the radical.

Square both sides.

Divide by two on both sides.

The answer is:  

Example Question #48 : Solving And Graphing Radicals

Solve the radical equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract three on both sides.

Take the fifth power of both sides to cancel the radical.

Add three on both sides.

Divide by nine on both sides.

The answer is:  

Example Question #49 : Solving And Graphing Radicals

Solve the radical equation:  

Possible Answers:

Correct answer:

Explanation:

Square both sides to eliminate the radical.

Add 9 on both sides.

Divide by three on both sides.

The answer is:  

Example Question #41 : Solving Radical Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Add 7 on both sides.

Square both sides.

Simplify both sides of the equation.

Add 2 on both sides.

Divide by nine on both sides.

Reduce both fractions.

The answer is:  

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