Tags Math and Arithmetic Numbers Irrational Numbers

Animals & Plants Arts & Entertainment Auto Beauty & Health Books and Literature Business Electronics Engineering & Technology Food & Drink History Hobbies Jobs & Education Law & Government Math People & Society Science Social Studies Sports Travel & Places

0

Subjects>Math>Math & Arithmetic

Can a rational number plus an irrational number equal a rational number?

Anonymous

∙ 10y ago

Updated: 11/5/2022

No, never.

Wiki User

∙ 10y ago

Still curious? Ask our experts.

Chat with our AI personalities

Steve

Knowledge is a journey, you know? We'll get there.

Chat with Steve

Fran

I've made my fair share of mistakes, and if I can help you avoid a few, I'd sure like to try.

Chat with Fran

Jordan

Looking for a career mentor? I've seen my fair share of shake-ups.

Chat with Jordan

Add your answer:

Earn +20 pts

Q: Can a rational number plus an irrational number equal a rational number?

Write your answer...

Submit

Still have questions?

imp

Continue Learning about Math & Arithmetic

Can you subract an rational and irrational number and get an irrational number?

Yes. In fact, a rational plus or minus an irrational will always be irrational.

Is a rational plus an irrational equals a rational?

No. A rational plus an irrational is always an irrational.

What is an irrational plus two rational numbers?

Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.

Is a rational number plus a rational number rational?

Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Why is the sum of an rational number and irrational number an irrational number?

The rational numbers form a field. In particular, the sum or difference of two rational numbers is rational. (This is easy to check directly). Suppose now that a + b = c, with a rational and c rational. Since b = c - a, it would have to be rational too. Thus you can't ever have a rational plus an irrational equalling a rational.

Trending Questions

What are the characteristics of a sphere? What is the difference between first and second wave e-commerce? What is the length and width of a locker? What is 10 percent of one hundred and twenty four? What is the speed of the wave if it travels 24 meters in 6 seconds? What type of triangle classifies soils? What are three positives and negatives of cloning? How many times can 30 go into 51? What is the smallest two digit number that can be rounded off to 100? How do you make 4 string square scoobies? What city is mentioned most in the old testament? What is the area of Escaro? How many days are there in 386 days? What gauge is a 9 ounce co2 tank? What number is roman numerals mcmlxxviii? What book of the bible contains all the letters of the alphabet except J? What is 4901216 rounded to 4901299? What is 20 percent in decimal form? What goes 12km per hour? What is a fraction of 0.459 reduced?

Resources

Top Categories

Product

Company

Copyright ©2025 Infospace Holdings LLC, A System1 Company. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Answers.