Estimating Square Roots and Perfect Squares

The video tutorial explains how to estimate the square root of a number that is not a perfect square. It uses the known square roots of nearby perfect squares to make an estimation. The tutorial demonstrates this process with the example of estimating the square root of 30, using the square roots of 25 and 36. The instructor explains the differences between these numbers to refine the estimation, concluding with a close approximation of the actual square root.

What is the main challenge in finding the square root of 30?

• It is a perfect square.

• It requires estimation.

• It is less than 5.

• It is greater than 6.

Which two perfect squares are used to estimate the square root of 30?

• 16 and 25

• 9 and 16

• 25 and 36

• 36 and 49

What is the estimated value of the square root of 30 according to the speaker?

• 4.5

• 6.0

• 5.5

• 5.0

What is the actual value of the square root of 30 as mentioned in the video?

• 5.57

• 5.37

• 5.67

• 5.47

Why is the square root of 30 not a perfect square?

• It is an even number.

• It is a multiple of 5.

• It is a prime number.

• It lies between two perfect squares.