Approximating Square Roots

The video tutorial explains how to calculate square roots, focusing on the difference between rational and irrational numbers. It demonstrates how to estimate the value of irrational square roots, such as the square root of 5, by comparing them to perfect square numbers. The tutorial provides a practical example and concludes with a review of the estimation method's accuracy.

What is the square root of 121?

• 9

• 11

• 13

• 15

Why is the square root of 5 considered an irrational number?

• It has a repeating pattern.

• It can be expressed as a fraction.

• It is a whole number.

• It goes on forever without a pattern.

Between which two integers does the square root of 5 lie?

• 4 and 5

• 3 and 4

• 2 and 3

• 1 and 2

How can we estimate the square root of 5 more accurately?

• By comparing it to the square root of 6

• By comparing it to the square roots of 4 and 9

• By guessing randomly

• By using only a calculator

What was the estimated value of the square root of 5 in the lesson?

• 2.3

• 2.2

• 2.1

• 2.4