Simplifying Square Root of a Number

The video tutorial explains how to simplify square roots by finding the largest square number that divides evenly into a given number, specifically 216. The instructor lists square numbers up to 225 and demonstrates the simplification process by breaking down 216 into a product of 36 and 6. The square root of 36 is calculated, leading to the final simplified form of 6√6.

What is the first step in simplifying the square root of a large number like 216?

• Divide it by 2

• Find a square number that divides it

• Find a prime number that divides it

• Multiply it by 10

Which of the following is a square number?

• 50

• 20

• 30

• 36

Which square number is the largest that divides into 216?

• 81

• 64

• 49

• 36

How can 216 be expressed as a product of a square number and another number?

• 25 times 9

• 36 times 6

• 49 times 4

• 16 times 13.5

What is the simplified form of the square root of 216?

• 6√6

• 9√4

• 12√3

• 18√2