Learn how to simplify radicals by adding

The video tutorial explains how to combine radicals by first simplifying them to like terms. It begins by showing that radicals in their current form cannot be combined. The instructor then demonstrates how to simplify radical 12 and combine it with radical 3 by treating them as like terms. The tutorial also clarifies why different radicals cannot be combined and emphasizes the importance of simplifying radicals to the same root before combining. The session concludes with a summary of key points and a brief Q&A.

What is the first step in simplifying radical 12 to combine it with radical 3?

• Convert radical 12 to a decimal

• Multiply radical 3 by radical 12

• Add radical 3 and radical 12 directly

• Rewrite radical 12 as the square root of 4 times 3

How can you combine radical 3 and 2 times radical 3?

• By adding them to get 3 times radical 3

• By multiplying them to get 6

• By dividing them to get 1

• By subtracting them to get radical 3

Why can't you combine radical 3 and radical 6 directly?

• Because they are both odd numbers

• Because they are both even numbers

• Because they are already simplified

• Because they have different bases

What is the result of adding square root of 4 and 2 times square root of 4?

• 2 square root of 8

• 3 square root of 8

• 8

• 6

What should you ensure before combining radicals?

• They are both greater than 10

• They are both odd numbers

• They are both even numbers

• They have the same root and number under the square root