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Cube and Square Root Approximations

Cube and Square Root Approximations

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to approximate the value of roots and radicals without a calculator. It covers methods for estimating square roots by identifying perfect squares around the target number and using similar techniques for cube roots with perfect cubes. The tutorial emphasizes the importance of practicing these skills for quick estimations.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why might someone need to approximate a root or radical without a calculator?

To impress friends with mental math skills

For quick calculations when a calculator is unavailable

To avoid using technology

To practice basic arithmetic

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the perfect square below 19?

36

25

16

9

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which two perfect squares does the square root of 19 fall between?

25 and 36

16 and 25

9 and 16

4 and 9

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a quick approximation for the square root of 19?

4.0

4.5

5.0

3.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the square root of 19 closer to 4 than 5?

Because 19 is closer to 25 than to 16

Because 19 is a prime number

Because 19 is an even number

Because 19 is closer to 16 than to 25

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the perfect cube below 40?

27

8

64

125

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which two perfect cubes does the cube root of 40 fall between?

27 and 64

8 and 27

1 and 8

64 and 125

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