Adding two radicals by simplifying

The video tutorial explains how to simplify and add radicals in a mathematical problem. It begins with an introduction to the problem, emphasizing the need to simplify radicals before performing addition. The instructor demonstrates breaking down complex radicals into simpler components that can be easily managed. By rewriting radicals with numbers that have known square roots, the instructor simplifies the expression and adds the simplified radicals to reach the final solution.

Why is it important to have the same radicands when adding or subtracting radicals?

• To convert them into fractions

• To make sure the radicals can be added or subtracted

• To simplify the calculation process

• To ensure the radicals can be multiplied

What is the first step in simplifying the square root of 75?

• Divide it by 5

• Rewrite it as a product of numbers with known square roots

• Add it to another radical

• Convert it into a fraction

Which of the following is a correct way to rewrite the square root of 12?

• 4 times 3

• 3 times 4

• 6 times 2

• 2 times 6

After simplifying, what is the result of adding 5√3 and 2√3?

• 10√3

• 7√3

• 3√3

• 5√3

What remains under the radical when simplifying 5√3 + 2√3?

• The number 7

• The number 5

• The number 2

• The number 3