Best Answer

Let `a` be a rational number and `b` be an irrational number,assume that the sum is rational.

1.a +b =c

Where a and c are rational and b is irrational.

2.b=c-a

Subtracting the same number a from each side.

3.b is irrational c-a is a rational number we arrived at a contradiction.

So the sum is an irrational number.

Study guides

☆☆☆

Q: Can you add an irrational number and a rational number?

Write your answer...

Submit

Still have questions?

Related questions

No, but you can add an irrational number and a rational number to give an irrational.For example, 1 + pi is irrational.

An irrational number.

If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.

You can add any irrational number.

Every time. No exceptions.

no

no

10.01 is a rational number

Yes. The sum of two irrational numbers can be rational, or irrational.

No, the result is always an irrational number. In more advanced math it is possible to add an infinite amount of rational numbers by way of Taylor Series and get an irrational number. This is how numbers like "Pi" and "e" are derived.

It is a rational number.

They add up to 17.02 which is rational number

People also asked