Adding and Subtracting Square Roots Explained

The video tutorial explains how to add and subtract radicals by first simplifying each radical using factor trees. It then demonstrates how to combine like terms with the same radical. An example with coefficients is provided, showing the extra step needed when coefficients are present. The tutorial emphasizes the importance of simplifying radicals before combining them.

What is the first step in adding and subtracting radicals?

• Divide the radicals

• Simplify each radical individually

• Combine like terms immediately

• Multiply the radicals

What do you get when you simplify the square root of 75?

• 7 square roots of 5

• 5 square roots of 7

• 5 square roots of 3

• 3 square roots of 5

Which of the following radicals can be combined with 5 square roots of 2?

• 4 square roots of 3

• 2 square roots of 3

• 4 square roots of 2

• 3 square roots of 5

What is the simplified form of the square root of 36?

• 6

• 5

• 7

• 8

What do you get when you multiply 1/2 by the square root of 36?

• 2

• 6

• 3

• 4

What is the result of simplifying the square root of 20?

• 2 square roots of 5

• 4 square roots of 5

• 5 square roots of 2

• 2 square roots of 3

What is the product of 2 and the simplified form of the square root of 25?

• 10

• 20

• 15

• 5

What is the simplified form of the square root of 45?

• 2 square roots of 3

• 3 square roots of 5

• 5 square roots of 3

• 4 square roots of 5

What is the result of combining 3 and 10, given they have no radicals?

• 13

• 7

• 10

• 15

What is the result of combining -4 and 12 square roots of 5?

• 8 square roots of 5

• 6 square roots of 5

• 10 square roots of 5

• 12 square roots of 5