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The square root of 2 and the value of pi are two examples of Irrational Numbers which can't be expressed as fractions

Q: What are two real-life application of irrational numbers?

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Not necessarily. The sum of two irrational numbers can be rational or irrational.

If you multiply two irrational numbers, the result can be rational, or irrational.

yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.

There are numbers which cannot be expressed as ratios of two integers. These are called irrational numbers.

Yes, but not necessarily.

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Not necessarily. The sum of two irrational numbers can be rational or irrational.

If you multiply two irrational numbers, the result can be rational, or irrational.

yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.

Can be rational or irrational.

Any of the numbers which cannot be expressed as a ratio of two integers is irrational.

Pi and the square root of two are irrational numbers.

In between any two rational numbers there is an irrational number. In between any two irrational numbers there is a rational number.

In between any two rational numbers there is an irrational number. In between any two Irrational Numbers there is a rational number.

The sum of two irrational numbers may be rational, or irrational.

There are numbers which cannot be expressed as ratios of two integers. These are called irrational numbers.

Yes, irrational numbers are never rational numbers because irrational numbers can't be expressed, by definition, as a fraction of two integers.

The answer can be irrational or rational.