Estimating Square Roots Techniques

The video tutorial explains how to estimate the square root of a whole number using a number line. It demonstrates the process with examples, such as estimating the square root of 19 and 35, using trial and error and number line divisions. The tutorial also covers different methods for achieving precision in estimation.

What is the purpose of using a number line in estimating square roots?

• To find the exact square root of a number

• To estimate the square root of a number

• To calculate the square of a number

• To determine if a number is a perfect square

Which two perfect squares is 19 between?

• 25 and 36

• 16 and 25

• 4 and 9

• 9 and 16

Why is the square root of 19 closer to 4 than to 5?

• Because 19 is closer to 25 than to 16

• Because 19 is closer to 16 than to 25

• Because 19 is an even number

• Because 19 is a perfect square

What is the approximate range for the square root of 19 using trial and error?

• Between 4.3 and 4.4

• Between 4.0 and 4.1

• Between 4.1 and 4.2

• Between 4.5 and 4.6

What is the square of 4.3?

• 19.01

• 19.36

• 18.92

• 18.49

What is the square of 4.4?

• 18.49

• 19.36

• 18.92

• 19.01

What is the square of 4.35?

• 19.01

• 18.92

• 19.36

• 18.49

What is the square of 4.36?

• 19.01

• 18.92

• 19.36

• 18.49

What is the approximate square root of 19?

• 4.38

• 4.37

• 4.36

• 4.35

What is the area of the square in the example problem?

• 55 square centimeters

• 45 square centimeters

• 35 square centimeters

• 25 square centimeters