Understanding Square Roots and Simplification

The video tutorial explains how to find and simplify the square root of 369, an irrational number. It uses a factor tree to simplify the expression to 3√41 and provides an estimation of the square root between 19 and 20. The exact value is calculated to five decimal places as 19.20937. The video concludes with a reminder of the importance of kindness.

What type of number is the square root of 369?

• Rational

• Irrational

• Whole

• Integer

Which method is used to simplify the square root of 369 in the video?

• Prime factorization

• Estimation

• Factor tree

• Long division

What is the simplified form of the square root of 369?

• 9 square root 41

• Square root 369

• Square root 123

• 3 square root 41

Between which two integers does the square root of 369 lie?

• 17 and 18

• 18 and 19

• 19 and 20

• 20 and 21

What is the estimated value of the square root of 369 to two decimal places?

• 19.75

• 19.50

• 19.15

• 19.00

What is the exact value of the square root of 369 to five decimal places?

• 19.20973

• 19.20397

• 19.20937

• 19.20937

What is the key takeaway about the nature of the square root of 369?

• It is an integer

• It is an irrational number

• It is a whole number

• It is a rational number