Chapter SH, Problem 10.2.8EP

To determine

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

  $-\sqrt{36}$

Answer to Problem 10.2.8EP

The $-\sqrt{36}$ number is integer and rational number.

Explanation of Solution

Given:

Number: $-\sqrt{36}$

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.

The integer is nothing but number without a fraction.

So, the number is $-\sqrt{36}$ .

It is a square root of perfect square, as

  $-\sqrt{36}=-6$

So it is an integer and rational number.

Conclusion:

Hence, the $-\sqrt{36}$ number is integer and rational number.