Simplify the Square Root of an Integer, Root(32)

The video tutorial explains three methods for solving radicals, focusing on the square root of 32. The first method involves breaking down the radical using square numbers, the second method uses multiplication to factor the radical, and the third method employs a factoring tree. The tutorial emphasizes choosing the largest square number for simplification and provides detailed examples for each method.

What is the square root of 16?

• 5

• 4

• 2

• 3

Which of the following is NOT a perfect square?

• 9

• 16

• 4

• 32

How can the square root of 32 be rewritten using perfect squares?

• √9 × √3

• √25 × √7

• √8 × √4

• √16 × √2

What is the result of breaking down the square root of 36 into separate radicals?

• √6 × √6

• √4 × √9

• √3 × √12

• √2 × √18

Why is it preferred to choose the largest square number when simplifying square roots?

• It reduces the number of steps needed.

• It is a rule of mathematics.

• It provides a different answer.

• It makes the calculation more complex.

What is the final simplified form of √32 using the factoring method?

• 8√1

• 4√2

• 2√8

• 16√0.5

In the factoring method, what happens to the extra factor that cannot be paired?

• It is discarded.

• It remains under the radical.

• It is multiplied by 2.

• It is divided by 2.