Chapter SH, Problem 10.2.6EP

To determine

The name of number as whole, integer, rational or irrational number.

  $\sqrt{2}$

Answer to Problem 10.2.6EP

The $\sqrt{2}$ number is irrational number.

Explanation of Solution

Given:

Number: $\sqrt{2}$

Concept Used:

Whole Number: A whole number is number without fractions.

Integer: Integer is a number which not a fraction.

Rational Number: Rational number can be expressed as the quotient or fraction of two integers. Since one number is rational number.

As by the definition the rational number if two numbers are $p$ and $q$ then one of them such as $q$ is rational number.

Here $\sqrt{2}$ is not a square root of perfect square.

So, the given number is $\sqrt{2}$ anirrotational number.

Conclusion:

Hence, the $\sqrt{2}$ number isirrational number.