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# what is a irrarational number

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what is a irrarational number

Guest Sep 23, 2017
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#1
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An Irrational Number is a real number that cannot be written as a simple fraction.

Eg: 1.13577894561...

7.89463148723...

SylviaMcDoubloons  Sep 23, 2017
#2
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An irrational number is a real number that cannot be represented as a ratio of $$\frac{a}{b}$$such that a and b are both integers.

Another way to know if a number is irrational is to notice if the decimal expansion does not terminate or repeat indefinitely. If it is, that number is irrational.

$$\pi$$, for example, is irrational. $$\sqrt{2}$$ is also irrational. $$\phi$$ (known as the golden ratio) is irrational, too.

$$\frac{1}{3}$$ is not irrational because it is a ratio of $$\frac{a}{b}$$ where a=1 and b=3.

$$2.7551$$ is not irrational because the decimal terminates.

$$1.3\overline{949494}$$ is not irrational because the decimal repeats indefinitely.

TheXSquaredFactor  Sep 23, 2017

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