How to Estimate the Square Root of Non-Square Numbers #22

The video tutorial explains how to estimate the square root of non-square numbers by identifying the two nearest square numbers. It provides examples with the numbers 77 and 30, demonstrating the process of finding the square root by determining which whole numbers the target number lies between and estimating the decimal value. The tutorial emphasizes the importance of understanding proximity to the nearest square numbers to make a more accurate estimation.

What is the first step in estimating the square root of a non-square number?

• Find the two square numbers closest to the given number.

• Add 10 to the number.

• Divide the number by 2.

• Multiply the number by itself.

If you are estimating the square root of 77, which two square numbers should you consider?

• 36 and 49

• 49 and 64

• 64 and 81

• 81 and 100

Why is the estimated square root of 77 closer to 9 than to 8?

• Because 77 is a prime number.

• Because 77 is an even number.

• Because 77 is closer to 81.

• Because 77 is closer to 64.

What is the estimated square root of 30 to one decimal place?

• 5.0

• 5.8

• 5.3

• 5.5

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

• 9 and 16

• 36 and 49

• 25 and 36

• 16 and 25