### Concept (1)

A square root is an exponent of one-half. A cube root is an exponent of one-third. Square roots of negative numbers do not have real number roots since the product of any real number and itself is positive. Cube roots do exist for negative numbers since the product of three negatives is a negative. Cube roots re-appear often in Geometry and in Algebra II.

### Sample Problems (13)

Need help with "The Quadratic Formula" problems? Watch expert teachers solve similar problems to develop your skills.

Solve x² − 2x − 8 = 0 using the quadratic formula.

###### Problem 1
How to use the quadratic formula when the solutions are integers.

7x² − 2x − 8 = 0
###### Problem 2
How to use the quadratic formula with decimal approximations or simple radical form solutions.

Solve x² − 2x + 2 = 0 using the quadratic formula.

###### Problem 3
How to use the quadratic formula when there are no solutions.
###### Problem 4
Simple radical form versus decimal approximations.
###### Problem 5
Tips for solving with the quadratic formula correctly.
###### Problem 6
Using the quadratic formula to determine when an object will hit the ground.
###### Problem 7
Solving with the Quadratic Formula after dividing by a common factor.
###### Problem 8
Interpreting the +, - symbol as two expressions to simplify.
###### Problem 9
Derivation of the quadratic formula using completing the square.
###### Problem 10
Identifying which quadratic solving method would be best in different circumstances.
###### Problem 11
Songs to help remember the quadratic formula.
###### Problem 12
Rational solutions from the quadratic formula means factoring would be possible, as well.