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# Write three numbers whose decimal expansions are non-terminating non-recurring.

To do:

We have to write three numbers whose decimal expansions are non-terminating non-recurring.

Solution:

A rational number can be expressed in either terminating decimal or non-terminating recurring decimals and an irrational number is expressed in non-terminating non-recurring decimals.

Therefore,

$\sqrt7=2.64575131106......$, $\sqrt{23}=4.7958315......$ and $\sqrt{31}=5.567764363........$ are three numbers whose decimal expansions are non-terminating non-recurring.

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