All Algebra II Resources
Example Questions
Example Question #11 : Solving Radical Equations
Solve for .
Subtract on both sides.
Square both sides to get rid of the radical.
Divide on both sides.
Example Question #12 : Solving And Graphing Radicals
Solve for .
Subtract on both sides. Since is greater than and is negative, our answer is negative. We treat as a normal subtraction.
Square both sides to get rid of the radical. When squaring negative values, they become positive.
Subtract on both sides.
Example Question #11 : Solving Radical Equations
Solve for .
Square both sides to get rid of the radical.
Subtract on both sides.
Add on both sides.
Divide on both sides.
Example Question #12 : Solving Radical Equations
Solve for .
Divide on both sides.
Square both sides to get rid of the radical.
Subtract on both sides. Since is greater than and is negative, our answer is negative. We treat as a normal subtraction.
Example Question #13 : Solving Radical Equations
Solve for .
Square both sides to get rid of the radical.
This is a set-up of a quadratic equation Subtract on both sides.
We need to find two terms that are factors of the c term that add up to the b term.
Subtract on both sides. Since is greater than and is negative, our answer is negative. We treat as a normal subtraction.
Example Question #1571 : Mathematical Relationships And Basic Graphs
Solve:
To solve this problem, first square both sides: . Then, solve for x, which is 40.
Example Question #4232 : Algebra Ii
Solve and simplify:
To solve for x, first we must isolate the radical on one side:
Next, square both sides to eliminate the radical:
Now, take the cube root of each side to find x:
Finally, factor the term inside the cube root and see if any cubes can be pulled out of the radical:
Example Question #21 : Solving Radical Equations
Solve:
Subtract 14 on both sides.
Simplify both sides.
To eliminate the radical, square both sides.
Simplify both sides.
Divide by two on both sides.
The answer is:
Example Question #23 : Solving And Graphing Radicals
Solve the equation:
Subtract from both sides to group the radicals.
Square both sides.
Use the FOIL method to simplify the right side.
Combine like-terms.
Subtract one from both sides, and add on both sides.
The equation becomes:
Divide by two on both sides and distribute the terms inside the radical.
Square both sides.
Simplify the right side by FOIL method.
Subtract on both sides. This is the same as subtracting on both sides.
Subtract on both sides. The equation will become:
Multiply by four on both sides to eliminate the fractional denominator.
Use the quadratic equation to solve for the roots.
Simplify the radical and fraction.
Substitute the values of and back into the original equation, and only will satisfy both sides of the equation.
The answer is:
Example Question #24 : Solving And Graphing Radicals
Solve, and ensure there are no radicals in the denominator
None of these