How to Simplify the Square Root of 32

The video tutorial explains how to apply the rules of radicals to simplify expressions. It demonstrates breaking down the number 32 into a product of square numbers, specifically 16 and 2, and then applying the rules of radicals to simplify the expression to 4 square root of 2. The instructor emphasizes choosing the highest square number for simplification and explains each step in detail, although some steps are usually skipped for efficiency.

What is the largest square number that divides into 32?

• 32

• 16

• 8

• 4

How can the expression 16 times 2 be rewritten using the rules of radicals?

• Square root of 16 plus square root of 2

• Square root of 16 times square root of 2

• Square root of 32

• Square root of 8 times square root of 4

What is the square root of 16?

• 2

• 3

• 4

• 5

Why does the teacher usually skip the step of breaking down the expression into square roots?

• It's too complicated

• It's unnecessary extra work

• It's not allowed in mathematics

• It leads to incorrect results

What is the final simplified form of the expression?

• 4 square root of 2

• 8 square root of 4

• 16 square root of 1

• 2 square root of 8