# Which best explains what determines whether a number is irrational

Posted By Admin @ September 03, 2022

#### Question:

Which best explains what determines whether a number is irrational?

a number that can be written as a square root that does not result in a whole number.
a number that can be written as a decimal that repeats and does not terminate.
a number that ca be written as a decimal that neither repeats nor terminates.
a number that can be written as a decimal thats terminates and does not repeat.

A number that can be written as a square root that does not result in a whole number determines whether a number is irrational.

### What is an irrational number?

An irrational number is a number the square root of a number that does have a perfect square. When it is written in decimal form, the decimals do not repeat and will not terminate.

An irrational number does not terminate nor does it repeat.

We are given options, from which we must choose what best describes an irrational number.

The statement that best describes an irrational number is "A number that can be written as a square root that does not result in a whole number".

This is true, as the decimal places of such a square root would have no repeating decimals or terminations.

Therefore, we have found that the statement "A number that can be written as a square root that does not result in a whole number" determines whether a number is irrational. The correct answer is option A.

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