Estimating Square Roots of Numbers

The video tutorial explains how to estimate the square root of 67 by comparing it with the square roots of nearby perfect squares, 64 and 81. The process involves recognizing that 67 is closer to 64 than 81, leading to an estimated square root of approximately 8.2. The actual square root is 8.18, demonstrating the accuracy of the estimation method.

What is the purpose of comparing 67 with the squares of 8 and 9?

• To determine if 67 is a perfect square

• To calculate the square of 67

• To estimate the square root of 67

• To find the exact square root of 67

Why is 67 considered closer to 64 than to 81?

• Because 67 is exactly halfway between 64 and 81

• Because 67 is a perfect square

• Because 67 is only 3 more than 64

• Because 67 is less than 64

What is the estimated square root of 67 based on the comparison?

• 8.0

• 8.5

• 9.0

• 8.2

How does the estimated square root of 67 compare to the actual value?

• The estimate is lower than the actual value

• The estimate is higher than the actual value

• The estimate is exactly the same as the actual value

• The estimate is very close to the actual value

What is the actual square root of 67?

• 8.18

• 8.25

• 8.30

• 8.10