Adding & Subtracting Radical Expressions Lesson

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In this section, we learn how to add and subtract radicals. We begin by learning about "like radicals". Like radicals have the same index and
the same radicand. This is similar to when we learned about “like terms” at the beginning of algebra. Recall that like terms have the same
variable, raised to the same power. When we have like radicals, the process of addition or subtraction is simple. We add or subtract the numbers
multiplying the radicals, and leave the common radical unchanged. An easy way to see this is by factoring out the common radical. This will
allow one to visualize why we only perform operations with the numbers multiplying the radicals. We will encounter many problems that appear
to not have like radicals. These problems commonly require us to simplify each radical first, then attempt to find like radicals. In many
cases, we will have like radicals that can be combined with addition or subtraction. Once we are done, we must remember to simplify all
radicals before we report our answer.

Adding & Subtracting Radical Expressions Resources:

Videos:

Virtual Nerd - Video
Khan Academy - Video
Khan Academy - Video
Text Lessons:

Purple Math - Text Lesson
Monterey Institute - Text Lesson
WTAMU EDU - Text Lesson
Worksheets:

Kuta - Worksheet
Math-Aids - Worksheet
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