Understanding Square Roots and Exponents

The video tutorial explains how to determine between which two consecutive whole numbers a square root lies. It uses examples of the square roots of 17 and 1000 to illustrate the process of approximation by comparing squares of whole numbers. The tutorial emphasizes understanding the concept of consecutive whole numbers and how to use them to approximate square roots.

What is the purpose of finding which two whole numbers a square root lies between?

• To find the exact value of the square root

• To approximate the square root

• To compare it with other square roots

• To determine if the square root is an integer

Why is the square root of 17 greater than 4?

• Because 4 squared is 16

• Because 4 squared is 18

• Because 4 squared is 25

• Because 4 squared is 20

Why is the square root of 17 less than 5?

• Because 5 squared is 15

• Because 5 squared is 25

• Because 5 squared is 30

• Because 5 squared is 20

Between which two whole numbers does the square root of 17 lie?

• 3 and 4

• 6 and 7

• 4 and 5

• 5 and 6

Why is the square root of 17 closer to 4 than to 5?

• Because 17 is closer to 25 than 16

• Because 17 is closer to 16 than 25

• Because 16 is closer to 17 than 25

• Because 25 is closer to 17 than 16

What is the first step in finding the square root of 1000 between two whole numbers?

• Calculate 25 squared

• Calculate 35 squared

• Calculate 20 squared

• Calculate 30 squared

What is the result of 30 squared?

• 800

• 900

• 1000

• 1100

Why is 30 too small for the square root of 1000?

• Because 30 squared is equal to 1000

• Because 30 squared is more than 1000

• Because 30 squared is not a perfect square

• Because 30 squared is less than 1000

What is the result of 31 squared?

• 961

• 981

• 1001

• 1021

Why is 31 also too small for the square root of 1000?

• Because 31 squared is more than 1000

• Because 31 squared is less than 1000

• Because 31 squared is not a perfect square

• Because 31 squared is equal to 1000