The number √16 is rational because __
1. it is a decimal that repeats.
2. It is a decimal that terminates
3. It is a decimal that does not repeat or terminate
4. It is a square root of a perfect square
5. It is a square root of a non-perfect square
4. It is a square root of a perfect square.
4. It is a square root of a perfect square.
Explanation: The number √16 can be simplified to 4, which is a perfect square. A perfect square is a number that can be expressed as the square of an integer.
The correct answer is 4. It is a square root of a perfect square.
To understand why, let's first define what a rational number is. A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. Rational numbers can be written as terminating or repeating decimals.
In the given question, we are dealing with the number √16, which represents the square root of 16. The square root of 16 is 4, which is a perfect square because it can be expressed as 4 * 4.
Since the square root of 16 is a whole number (4), it can be written as a fraction where the numerator is 4 and the denominator is 1 (since any whole number can be written as a fraction with a denominator of 1). Therefore, √16 is a rational number.
To find the answer to this question, we need to understand the concept of perfect squares and square roots and apply it to the given number.