# Is The Square Root Of 16 A Rational Number?

## Is 16 a rational number?

Rational numbers include natural numbers, whole numbers, and integers.

Sixteen is natural, whole, and an integer.

Since it can also be written as the ratio 16:1 or the fraction 16/1, it is also a rational number.

It’s easy to look at a fraction and say it’s a rational number, but math has its rules..

## Is √ 3 an irrational number?

The square root of 3 is the positive real number that, when multiplied by itself, gives the number 3. The square root of 3 is an irrational number. … It is also known as Theodorus’ constant, named after Theodorus of Cyrene, who proved its irrationality.

## Is 3 rational or irrational?

Explanation: A rational number is a number, which can be expressed as a fraction. Since 3 can be expressed as 3=31=62=124 and so on, it is a rational number.

## Is 9 square root a rational number?

When the square root of a number is a whole number, this number is called a perfect square. 9 is a perfect square because \begin{align*}\sqrt{9}=3\end{align*}. … Many square roots are irrational numbers, meaning there is no rational number equivalent.

## Is 12 a real number?

Integers: {… … As you can see, −12 is an integer, but it is also a rational number because it can be made into a fraction: −121 and it is real because it can be found on the number line.

## Is 11 an irrational number?

Sal proves that the square root of any prime number must be an irrational number. For example, because of this proof we can quickly determine that √3, √5, √7, or √11 are irrational numbers.

## Why is root 2 an irrational number?

Because √2 is not an integer (2 is not a perfect square), √2 must therefore be irrational. This proof can be generalized to show that any square root of any natural number that is not the square of a natural number is irrational.

## What type of number is 16?

16 (sixteen) is the natural number following 15 and preceding 17. 16 is a composite number, and a square number, being 42 = 4 × 4. It is the smallest number with exactly five divisors, its proper divisors being 1, 2, 4 and 8.

## Is 15 rational or irrational?

Answer and Explanation: The number 15 is a rational number. It is an integer and all integers are rational numbers. A rational number is one which can be written as a…

## Is negative square root of 16 a rational number?

Answer and Explanation: No, the square root of negative 16 is not a rational number. When we take the square root of a negative number we are always left with a number times…

## Is Square Root 16 a whole number?

2 Answers. Square root of 16 is +4 or -4. Since -4 is not a natural number, the square root can be described as an integer.

## Is the square root of rational number?

Oh no, there is always an odd exponent. So it could not have been made by squaring a rational number! This means that the value that was squared to make 2 (ie the square root of 2) cannot be a rational number. In other words, the square root of 2 is irrational.

## What type of number is √ 16?

The square root of 16 is a rational number. The square root of 16 is 4, an integer.

## Is 2/3 an irrational number?

For example 3=3/1, −17, and 2/3 are rational numbers. … Most real numbers (points on the number-line) are irrational (not rational). The rational numbers are those which have repeating decimal expansions (for example 1/11=0.09090909…, and 1=1.000000…

## Is 0 a rational number?

Zero Is a Rational Number As such, if the numerator is zero (0), and the denominator is any non-zero integer, the resulting quotient is itself zero.