Algebra II : Solving Radical Equations

Example Questions

Example Question #91 : Solving Radical Equations

Solve:

Explanation:

The equation becomes:

Square both sides to eliminate the radical.

Divide by three on both sides.

Example Question #92 : Solving Radical Equations

Solve the equation:

Explanation:

Divide by four on both sides.

Cube both sides to eliminate the radical.

Divide by negative two on both sides.

Example Question #93 : Solving Radical Equations

Solve:

Explanation:

Divide both sides by negative one.

Square both sides.

Subtract eight on both sides.

Example Question #94 : Solving Radical Equations

Solve:

Explanation:

Square both sides in order to eliminate the radical.

Divide by negative two on both sides.

Reduce both fractions.

Example Question #95 : Solving Radical Equations

Solve the equation:

Explanation:

Square both sides to eliminate the radical.

Divide both sides by three.

Example Question #96 : Solving Radical Equations

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.

Example Question #97 : Solving Radical Equations

Evaluate:

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.

Example Question #98 : Solving Radical Equations

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.

Example Question #99 : Solving Radical Equations

Solve the equation:

Explanation:

Subtract both sides by five.

Square both sides.

Divide by negative nine on both sides.

Explanation: