what type of number is √25 rational, irrational, wholenumber, integer, and
The Correct Answer and Explanation is:
The square root of 25 is a rational number, and more specifically, it is also a whole number and an integer.
Explanation:
- Rational Number: A number is considered rational if it can be expressed as the ratio of two integers, i.e., in the form ab\frac{a}{b}ba, where aaa and bbb are integers and b≠0b \neq 0b=0. The square root of 25 is 5, which can be written as 51\frac{5}{1}15. Since 5 is a whole number and can be expressed as a ratio of integers, it is a rational number.
- Whole Number: Whole numbers are the set of numbers that include 0 and all positive integers (0, 1, 2, 3, 4, …). Since 5 is a positive integer, it is a whole number.
- Integer: Integers are all the whole numbers, including negative numbers, zero, and positive numbers (… -3, -2, -1, 0, 1, 2, 3 …). Since 5 is a positive whole number, it is also an integer.
- Irrational Number: An irrational number cannot be expressed as a fraction of two integers. It has a non-terminating and non-repeating decimal expansion. Since 25=5\sqrt{25} = 525=5 is a finite number (not a decimal), it is not irrational.
In conclusion, 25\sqrt{25}25 equals 5, and it fits into the categories of being a rational number, whole number, and integer. It is not irrational because it can be expressed as a simple integer.
