# Algebra 1: 10-2 Simplifying Radical Expressions

0:00 Introduction
0:41 – Vocabulary
1:46 – Product Property of Simplifying Square Roots
3:29 – Why bother simplifying Radicals?
5:03 – How do you know what to factor the radicand into?
5:16 – Example: Simplify sqrt(75)
7:22 – How do you know you simplified it correctly?
8:55 – Example: Simplifying with numbers & variables
11:26 – Quotient Property of Simplifying Square Roots
11:51 – Example: Simplify a Quotient
15:40 – Rationalizing the Denominator (You can’t leave a radical in the denominator)
16:03 – Example: Rationalizing a Denominator
18:24: Example: sqrt(15) * sqrt(15)
19:25 – Example: multiplying square roots
21:39 – You Try Example
24:55 – Rationalizing denominator with the conjugate (the conjugate is the same binomial but with the 2nd term negated)
26:09 – Why do we want to multiply by the conjugate?
29:13 – You Try Example with rationalizing denominator with the conjugate