Understanding Square Roots and Perfect Squares

The video tutorial explains how to find the square root of large numbers by identifying patterns in perfect squares. It covers the unit digit patterns of perfect squares and applies these patterns to solve problems involving square roots of numbers like 1156, 2304, 4489, 12996, and 24649. The tutorial emphasizes estimation and comparison techniques to determine the correct square root.

Which of the following numbers is a perfect square with a units digit of 1?

• 39

• 21

• 29

• 31

If a number ends in 4, what could be the units digit of its square root?

• 2 or 8

• 5 or 9

• 3 or 7

• 4 or 6

What is the square root of 1156, given that it is a perfect square?

• 36

• 38

• 34

• 32

What is the square root of 2304?

• 48

• 42

• 46

• 44

Which number is closer to 2304, 1600 or 2500?

• Neither

• Both are equidistant

• 2500

• 1600

What is the square root of 4489?

• 63

• 65

• 67

• 69

For a number ending in 9, what could be the units digit of its square root?

• 4 or 6

• 3 or 7

• 2 or 8

• 1 or 9

What is the square root of 12996?

• 116

• 118

• 112

• 114

Which number is closer to 12996, 12100 or 14400?

• 14400

• 12100

• Both are equidistant

• Neither

What is the square root of 24649?

• 153

• 159

• 155

• 157