Question

what is the nature of decimal expansion of number root 2

Answer 1

this is non terminating non repeating decimal

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Answer 2

Answer:

Nature - Non terminating and non recurring decimal.

Step-by-step explanation:

Given : Number $\sqrt{2}$

To find : What is the nature of decimal expansion of number root 2?

Solution :

First we find the value of $\sqrt{2}$ by long division,

Refer the attached figure below.

$\sqrt{2}  = 1.414..$

The nature of the decimal expansion of number is non terminating and non recurring decimal.

Which also shows that $\sqrt{2}$ is an irrational number.