Manual Square Root Calculation Techniques

This tutorial video guides viewers through the process of manually calculating the square root of 38 to two decimal places. The instructor explains each step in detail, starting with setting up the problem, finding the first and second digits of the approximation, and verifying the result using a calculator. The video emphasizes the methodical approach to approximating square roots by hand, highlighting the importance of understanding each step in the process.

What is the main topic of this tutorial video?

• Calculating square roots using a calculator

• Finding square roots by hand

• Understanding perfect squares

• Learning multiplication tables

Which number is the largest perfect square less than 38?

• 49

• 25

• 30

• 36

What is the remainder when 38 is divided by 6 in the manual square root process?

• 3

• 2

• 1

• 0

In the manual calculation, what is the tenths place of the square root of 38?

• 6.3

• 6.2

• 6.1

• 6.0

What is the next step after finding the tenths place in the square root approximation?

• Verify with a calculator

• Double the number without the decimal

• Subtract the remainder

• Add more zeros

What is the hundredths place of the square root of 38 in the manual calculation?

• 6.15

• 6.17

• 6.14

• 6.16

What is the purpose of doubling the number without the decimal in the manual calculation?

• To simplify the process

• To check for errors

• To complete the calculation

• To find the next digit

How is the manual calculation verified at the end of the process?

• By estimating the result

• By comparing with a table

• By checking with a calculator

• By repeating the process

What is the approximate square root of 38 as calculated manually?

• 6.16

• 6.17

• 6.14

• 6.15

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