Question: Is The Square Root Of A Rational Number?

Is Square Root 13 a rational number?

No, √13 is an infinite non-recurring decimal.

13 is not a perfect square and therefore does not have an exact square root.

√13 cannot be written as a ratio of integers and as a result cannot be written as a fraction, which is the definition of a rational number..

Is the square root of 500 a rational number?

The square root of 500 is a rational number if 500 is a perfect square. It is an irrational number if it is not a perfect square. Since 500 is not a perfect square, it is an irrational number.

Is 13 a irrational number?

Answer and Explanation: 13 is a rational number. A rational number is any number that is negative, positive or zero, and that can be written as a fraction. This includes all…

Is 13 a whole number?

Is 13 real, natural, whole, rational, and prime? Yes. Since it is rational, it is also an integer.

Is the square root of 15 a rational number?

15=3×5 has no square factors, so √15 cannot be simplified. It is not expressible as a rational number. It is an irrational number a little less than 4 .

Is the square root of 16 a rational number?

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

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 a rational number?

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 the square root of 10 a rational number?

The square root of 2 cannot be written as a simple fraction! And there are many more such numbers, and because they are not rational they are called Irrational….Example:NumberAs a FractionRational?−0.1−1/10Yes0.111…1/9Yes√2 (square root of 2)?NO !3 more rows

Is 10 a rational number?

A rational number is any number which can be expressed as a fraction pq where pandq are integers and q is not equal to zero. We can write that 10=101 . In this fraction both numerator and denominator are natural numbers so 10 is a rational number.

Is the square root of 7 a rational number?

Since 7 is a prime number, it has no square factors and its square root cannot be simplified. It is an irrational number, so cannot be exactly represented by pq for any integers p,q .

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.

Is 20 rational or irrational?

Answer and Explanation: Yes, 20 is a rational number. The number 20 is an integer, and we have a rule relating integers and rational numbers.

Is 5 a rational number?

Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.