1.3 Radicals and Rational Exponents.

0:00 Radicals and Rational Exponents.

1:58 Definition of The Principal Square Root. The Radicand, the Radical, and the Radical Expression.

3:01 Be Careful. The square Root of 25 is not plus or minus 5, with examples and graphs.

6:27 Imaginary Unit " i ". With Examples.

9:55 Using the Product Rule to Simplify Square Roots.

11:34 Complex Numbers.

12:00 The Complex Number System.

13:25 Using the Product Rule to Simplify Square Roots again.

16:31 The Square Root of the Product is equal to the Product of the Square Roots.

16:51 The Square Root of the Quotient is equal to the Quotient of the Square Roots.

17:14 Using the Product Rule to Simplify the Product of Multiple Square Roots.

20:20 The Square Root of (a^2) is the Absolute Value of a.

23:03 Example.

25:59 Rationalizing a Denominator Containing a Single Term.

27:38 Rationalizing a Denominator Containing Two Terms.

31:30 Rational Exponents with EXAMPLES.