Estimating Square Roots of Non-Perfect Squares

The video tutorial provides a method to estimate the square roots of non-perfect squares by identifying the two closest perfect squares. It demonstrates this technique with examples, including estimating the square roots of 32, 55, and 123. The process involves determining the perfect squares immediately below and above the given number, then using these to approximate the square root. The tutorial emphasizes understanding the relationship between numbers and their square roots, offering a practical approach to estimation without a calculator.

What is the main goal of the video tutorial?

• To learn how to calculate perfect squares.

• To estimate the square roots of non-perfect squares.

• To memorize the square roots of perfect squares.

• To understand the history of square roots.

Between which two integers does the square root of 32 lie?

• 4 and 5

• 5 and 6

• 6 and 7

• 7 and 8

What is the perfect square immediately less than 32?

• 36

• 25

• 16

• 49

Which perfect square is immediately greater than 32?

• 25

• 36

• 49

• 64

Between which two integers does the square root of 55 lie?

• 8 and 9

• 6 and 7

• 7 and 8

• 9 and 10

What is the perfect square immediately less than 55?

• 81

• 49

• 36

• 64

Which perfect square is immediately greater than 55?

• 64

• 100

• 81

• 49

Between which two integers does the square root of 123 lie?

• 13 and 14

• 10 and 11

• 11 and 12

• 12 and 13

What is the perfect square immediately less than 123?

• 100

• 169

• 121

• 144

Which perfect square is immediately greater than 123?

• 144

• 121

• 196

• 169