Algebra II : Solving and Graphing Radicals

Example Questions

Example Question #41 : Solving And Graphing Radicals

Solve the equation:

Explanation:

Subtract seven on both sides.

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

Divide by five on both sides.

Example Question #42 : Solving And Graphing Radicals

Solve the equation:

Explanation:

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.

Example Question #43 : Solving And Graphing Radicals

Solve the equation:

Explanation:

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

Square both sides.

Divide by six on both sides.

Example Question #44 : Solving And Graphing Radicals

Solve the equation:

Explanation:

Cube both sides.

Divide by six on both sides.

Example Question #45 : Solving And Graphing Radicals

Solve the equation:

Explanation:

Raise both sides of the equation by five.

Divide by two on both sides.

Simplify both sides.

Example Question #46 : Solving And Graphing Radicals

Solve:

Explanation:

Square both sides to eliminate the radical.

The equation becomes:

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

Simplify both sides.

Example Question #47 : Solving And Graphing Radicals

Solve:

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.

Example Question #48 : Solving And Graphing Radicals

Explanation:

Subtract three on both sides.

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

Divide by nine on both sides.

Example Question #49 : Solving And Graphing Radicals

Explanation:

Square both sides to eliminate the radical.

Divide by three on both sides.

Example Question #41 : Solving Radical Equations

Solve the equation:

Explanation:

Square both sides.

Simplify both sides of the equation.