Simplify the square root of a number

The video tutorial explains how to find the largest squared number that evenly divides a given radical, using 72 as an example. It identifies 36 as the largest square divisor and demonstrates how to rewrite 72 as 36*2. The tutorial further simplifies the expression using the concept of inverse operations, resulting in 6 times the square root of 2.

What is the largest square number that can evenly divide 72?

• 36

• 25

• 49

• 16

Which of the following is a correct expression of 72 using its largest square divisor?

• 72 = 25 * 2.88

• 72 = 36 * 2

• 72 = 49 * 1.5

• 72 = 16 * 4.5

What is the inverse operation of squaring a number?

• Multiplication

• Addition

• Square root

• Division

How can the square root of 72 be simplified using the largest square divisor?

• 8 times the square root of 3

• 5 times the square root of 4

• 7 times the square root of 1

• 6 times the square root of 2

What is the result of simplifying the expression 6^2 * sqrt(2)?

• 18 * sqrt(2)

• 36 * sqrt(2)

• 6 * sqrt(2)

• 12 * sqrt(2)