Estimating Square Roots

The video tutorial explains how to estimate the square root of 70 by comparing it to the square roots of nearby perfect squares, 64 and 81. The instructor demonstrates that since 70 is closer to 64, the square root of 70 is closer to 8. The final estimate given is 8.4, which is close to the actual value of 8.36, showing the effectiveness of this estimation method.

What is the purpose of comparing the square root of 70 with the square roots of 64 and 81?

• To calculate the square root of 70 using a formula

• To estimate the square root of 70 by finding its range

• To determine if 70 is a perfect square

• To find the exact value of the square root of 70

Why is the square root of 70 closer to 8 than to 9?

• Because 70 is a perfect square

• Because 70 is closer to 64 than to 81

• Because 8 is a smaller number than 9

• Because 70 is an even number

What is the estimated value of the square root of 70 given in the video?

• 8.0

• 8.4

• 8.5

• 8.6

What is the actual value of the square root of 70 mentioned in the video?

• 8.60

• 8.50

• 8.40

• 8.36

How does the estimated value of the square root of 70 compare to the actual value?

• The estimate is much higher than the actual value

• The estimate is exactly the same as the actual value

• The estimate is much lower than the actual value

• The estimate is very close to the actual value