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Earn +20 ptsQ: What is the difference of a rational and irrational number?
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Is the sum or difference of a rational number and an irrational number is irrational?
Yes.
Is the difference of a rational number and an irrational number always ratioal?
No, it is always irrational.
What are the difference between decimal in rational and decimal in irrational?
A decimal rational number can be expressed as a fraction A decimal irrational number can not be expressed as a fraction
Adding rational number and an irrational number to get a rational number?
The sum of a rational and an irrational number is always irrational. Here is a brief proof:Let a be a rational number and b be an irrational number, and c = a + b their sum. By way of contradiction, suppose c is also rational. Then we can write b = c - a. But since c and a are both rational, so is their difference, and this means that bis rational as well. But we already said that b is an irrational number. This is a contradiction, and hence the original assumption was false. Namely, the sum c must be an irrational number.
When an irrational number is divided by a rational number is the quotient rational or irrational?
Irrational.
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