Search Header Logo
  1. Resource Library
  2. Math
  3. Number Sense
  4. Multiplying Rational Numbers
  5. Multiplying Rational And Irrational Numbers
Multiplying Rational and Irrational Numbers

Multiplying Rational and Irrational Numbers

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Emma Peterson

FREE Resource

This video tutorial explains how to multiply rational and irrational numbers, focusing on the rules for radicals. It covers the definitions of rational and irrational numbers, provides examples, and discusses the outcomes of multiplying these types of numbers. The tutorial also explores the general case of multiplying a rational number by an irrational number, concluding that the result is typically irrational.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the general rule for adding or subtracting radicals?

They can be of any size and type.

They must be multiplied first.

They must have the same size and type.

They must be divided first.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the coefficient in multiplying radicals?

It has no significance.

It makes the radicals rational.

It tells the total number of groups or parts.

It determines the size of the radicals.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can rational numbers be identified?

By their inability to form ratios.

By their irrational nature.

By their non-repeating decimals.

By their repeating decimals.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is true about irrational numbers?

They are always rational.

They can be written as ratios of integers.

They have repeating decimals.

They cannot be written with repeating decimals.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying 3√5 and 2√3?

6√15, an irrational number

A rational number

Zero

A negative number

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying two irrational numbers in the given example?

Always zero

Sometimes rational, sometimes irrational

Always irrational

Always rational

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example of multiplying 3√2 and 4√18, what is the final result?

72, a rational number

A negative number

An irrational number

Zero

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Microsoft

Continue with Microsoft

or continue with

Facebook

Facebook

Apple

Apple

Others

Others

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?