Question

To which subset(s) does the negative square root of 25 belong? choose all that apply

Answer 1

Answer:

-5 is an integer and also a rational number.

Step-by-step explanation:

Given is a value which is the negative square root of 25 belong.

First find out square root of 25 as

$\sqrt{25} =5\\-\sqrt{25}=-5$

We know that -5 is not a natural number or whole number since negative

But -5 is a rational number and also an integer

Answer 2

$-\sqrt{25}$ which can be written as -sqrt(25) on a keyboard, can be simplified to -5 since the square root of 25 is 5.

Put another way, 5^2 = 25 so we're simply going in reverse.

So the question is: where does -5 belong? Which number set?

The answer is: the set of integers and rational numbers
So that's the two answers

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Extra Info:

The value -5 is not a natural number as the set of natural numbers is {1, 2, 3, 4, 5, ...} basically the set of counting numbers
The same story applies to the set of whole numbers which is {0, 1, 2, 3, ...} 
So -5 is not in the set of whole numbers

The value -5 is also not irrational because it is rational. We can write it as a ratio of two integers: -5 = -5/1