Changing Rational Exponent Form to Radical Notation
Writing an expression in radical notation is detailed using several examples
Estimating Radicals to Set a Safe Speed Limit
A practical problem involving setting a speed limit is solved that involves estimating radicals to find the value of an irrational solution.
Examples of Rationalizing the Denominator
Problems involving rationalizing the denominator are presented and a shortcut is given.
Examples of Division Problems with Radicals
Two division problems with radicals are demonstrated.
Multiplying then Simplifying Two Radicals
The procedure for simplifying radicals by beginning with multiplication is demonstrated.
Dividing a Radical by a Whole Number
A radical can only be divided by another radical. In the examples demonstrated, the only radical is in the numerator. The radical simplified and the fraction reduced.
Working With the Discriminant First
Work with the discriminant first because it determines whether or not the equation has a solution. If the discriminant is positive, the equation has two solutions. If the discriminant is negative, the equation has not solution. Examples of both are ...
Square Root of a Negative Number is Not a Real Number, The
The square root of any negative number is not a real number. Writing a negative number in radical form is illustrated.
Using the Discriminant to Calculate Income from Mug Sales
Using the discriminant to solve a practical problem involving the pricing of mugs for greatest profit.
Using the Distance Formula to Find Distance Between Points
A practice problem is given to find the distance between coordinates using the distance formula.