Manual Square Root Calculation Steps

Manual Square Root Calculation Steps

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

This tutorial video teaches how to manually calculate the square root of 38 to two decimal places. The process involves identifying the closest perfect square, performing division, and refining the approximation through a series of steps. The video concludes with verifying the result using a calculator, demonstrating the accuracy of the manual method.

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24 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of this tutorial video?

Calculating square roots by hand

Understanding the history of square roots

Learning about perfect squares

Learning to calculate square roots using a calculator

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is 38 not considered a perfect square?

It is less than 50

It is an even number

It is a prime number

It cannot be expressed as the square of an integer

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in setting up the manual square root calculation?

Writing the number 38 and a division symbol

Finding the square of 38

Using a calculator to find the square root

Dividing 38 by 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which number is used as the initial divisor in the calculation?

8

5

6

7

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the remainder after the first division step?

3

4

2

1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the number 1 in the calculation process?

It is the units place of the square root

It is the tenths place of the square root

It is the hundreds place of the square root

It is the thousands place of the square root

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step after finding the first digit of the square root?

Add two zeros to the remainder

Double the number 61

Multiply by 10

Divide by 7

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