Adding and Subtracting Radicals

In this video, Mr. Bakerberg explains how to add and subtract square roots, focusing on the importance of simplifying radicals first. The key rule is that only terms with the same radical can be combined. Several examples are provided to illustrate the process, including cases where radicals are simplified, combined, or left unchanged due to differing radicals. The video concludes with examples of radicals that cannot be simplified or combined.

What is the main topic discussed in the video?

• Multiplying square roots

• Adding and subtracting square roots

• Dividing square roots

• Simplifying fractions

What is the key rule for adding and subtracting radicals?

• Radicals must be multiplied first

• Radicals must be divided first

• Radicals must have the same root

• Radicals must have the same value

In the example of adding 2√2 and 6√2, what is the result?

• 4√2

• 12√2

• 6√2

• 8√2

When subtracting √5 from 6√5, what is the result?

• -5√5

• 5√5

• 7√5

• -7√5

How is the square root of 28 simplified in the example?

• 4√7

• 2√7

• 5√7

• 3√7

What is the result of subtracting 2√6 from 15√6?

• 17√6

• 13√6

• -13√6

• -17√6

What is the simplified form of 2√27?

• 12√3

• 6√3

• 3√3

• 9√3

In the example of adding √12, 6√3, and 2√6, which radicals can be combined?

• √12 and 2√6

• 6√3 and 2√6

• None can be combined

• √12 and 6√3

Why can't 3√7 and 5√14 be added together?

• They have different radicals

• They are already simplified

• They have different coefficients

• They are not in the same equation