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Rationalizing the Denominator with Variables in the Radicand
03:45

Rationalizing the Denominator with Variables in the Radicand

Rationalizing the denominator with a variable in the radical is demonstrated.

Factoring Quadratic Equations Review
01:09

Factoring Quadratic Equations Review

Two methods of solving quadratic equations are factoring and finding the square root on each side; reviewed here.

Rewriting Radical Notation Using Rational Exponent Form
01:25

Rewriting Radical Notation Using Rational Exponent Form

Finding the value of a radical by writing it in rational exponent form.

Approximate Square Roots
02:07

Approximate Square Roots

Finding the approximate square root for numbers that are not perfect squares is demonstrated. Irrational numbers are explained.

Denominator of a Simplified Expression Never Has Radicals, The
01:42

Denominator of a Simplified Expression Never Has Radicals, The

A guideline is presented: a simplified radical expression never has radicals in the denominator. An expression with a radical in the denominator, but not in the numerator, is simplified using the identity property of multiplication and the process o...

Changing Rational Exponent Form to Radical Notation
01:53

Changing Rational Exponent Form to Radical Notation

Writing an expression in radical notation is detailed using several examples

Examples of Rationalizing the Denominator
02:44

Examples of Rationalizing the Denominator

Problems involving rationalizing the denominator are presented and a shortcut is given.

Multiplying then Simplifying Two Radicals
01:21

Multiplying then Simplifying Two Radicals

The procedure for simplifying radicals by beginning with multiplication is demonstrated.

Square Root of a Negative Number is Not a Real Number, The
01:02

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.