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If you divide 2 irrational numbers is the answer always an irrational number?

Updated: 10/17/2024

Tucker4 ∙

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∙ 15y ago

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No, not always. For example, sqrt(2) is irrational (1.41421...), but sqrt(2)/sqrt(2) = 1. 1 is a rational number. Similarly, 2*sqrt(2) is irrational (2.82842...), but sqrt(2)/(2*sqrt(2)) = 1/2. 1/2 is a rational number.

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Related questions

If you divide a rational number by an irrational number is the result irrational?

It is not always irrational.

The sum of rational numbers and an irrational number?

It is always an irrational number.

Are numbers below 0.833 always irrational numbers?

No, numbers less than 0.833 are not always irrational. For instance, 0.2 isn't an irrational number

Is real number is always a rational number?

They are not. Sometimes they are irrational. Irrational numbers cannot be expressed as a fraction.

Is a whole number always never or sometimes an irrational number?

Whole numbers can never be irrational.

Is a real number always irrational?

Real numbers can be rational or irrational because they both form the number line.

Is pi over 2 a whole integer rational or irrational number?

If you multiply or divide an irrational number - such as pi - by ANY rational number (except zero), you will ALWAYS get an irrational number.

Is 5 over pi a rational or irrational number?

If you divide a rational number by an irrational number, or vice versa, you will ALMOST ALWAYS get an irrational result. The sole exception is if you divide zero (which is rational) by any irrational number.

Is 1210 a irrational number?

Whole numbers are always rational.

Is an irrational number always a real numbeR?

All numbers are real. A number being irrational just means that is does not have a definite end.

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.

Are irrational numbers always natural numbers?

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