Estimating Square Roots with a Calculator

The video tutorial demonstrates how to estimate square roots using a calculator, rounding to the nearest hundredths. It provides examples with the square roots of 8, 62, and 4.3, explaining the process of calculation and verification by squaring the results to check their accuracy. The tutorial emphasizes understanding the approximation and rounding process, ensuring the estimated values are close to the actual square roots.

What is the estimated square root of 8 rounded to the nearest hundredth?

• 2.83

• 2.84

• 2.82

• 2.85

Which calculator function is used to find the square root?

• First X2

• Second X2

• Third X2

• Fourth X2

Why is the estimated square root of 8 considered approximate?

• Because it is very close to 8

• Because it is slightly more than 8

• Because it is slightly less than 8

• Because it is exactly 8

What is the estimated square root of 62 rounded to the nearest hundredth?

• 7.86

• 7.88

• 7.85

• 7.87

Why should the estimated square root of 62 be slightly less than 8?

• Because 62 is less than 64

• Because 62 is more than 64

• Because 62 is a prime number

• Because 62 is equal to 64

What should be the result when squaring the estimated square root of 7.87?

• Approximately 62

• Approximately 61

• Approximately 60

• Approximately 63

What is the estimated square root of 4.3 rounded to the nearest hundredth?

• 2.08

• 2.05

• 2.06

• 2.07

Why should the estimated square root of 4.3 be slightly more than 2?

• Because 4.3 is less than 4

• Because 4.3 is more than 4

• Because 4.3 is equal to 4

• Because 4.3 is a prime number

What is the purpose of rounding the estimated square roots to the nearest hundredth?

• To get a value close to the actual square root

• To simplify the square root

• To get an exact value

• To make the calculation easier

What should be the result when squaring the estimated square root of 2.07?

• Approximately 4.4

• Approximately 4.1

• Approximately 4.2

• Approximately 4.3