Calculating Square Roots Mentally

Calculating Square Roots Mentally

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video by Preshtalwalker teaches how to calculate the square root of perfect squares mentally, a skill once essential for students in 1876 without calculators. The method involves memorizing squares of numbers 0-9 and using the last digit to determine possible square roots. Several examples illustrate the method, including adapting it for cube roots. The video concludes with a historical reflection on arithmetic's evolution, highlighting the significance of Indian numerals in simplifying calculations.

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11 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the video by Preshtalwalker?

Calculating cube roots using a calculator

Learning to calculate square roots of perfect squares mentally

Understanding the history of Roman numerals

Solving complex algebraic equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why was the skill of calculating square roots mentally important in 1876?

It was used in art and design

Calculators were not available

It was a requirement for all jobs

It was a popular hobby

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in the method taught in the video for calculating square roots?

Drawing a number line

Using a calculator

Memorizing the cubes of numbers

Memorizing the squares of numbers from 0 to 9

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example of calculating the square root of 1600, what is the last digit of the square root?

0

4

8

6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For the square root of 4225, what is the last digit of the square root?

7

5

9

2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When calculating the square root of 841, which two numbers are considered for the last digit?

1 and 3

4 and 6

2 and 8

1 and 9

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the square root of 3969?

63

62

64

61

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