# Which of the following is always irrational

## Which of the following is always a irrational?

**The product of the fraction as well as a repeating decimal**is always irrational. In mathematics, these irrational numbers are real numbers that are not the rational numbers.

## Is the sum of two fractions always irrational?

When we add or multiply two rational numbers, is the result rational or irrational?

**The sum of two rational numbers is rational**. Here is one way to explain why it is true: Any two rational numbers can be written and , where are integers, and and are not zero.## What can be irrational?

Real Numbers: Irrational

Irrational Numbers: **Any real number that cannot be written in fraction form** is an irrational number. These numbers include non-terminating, non-repeating decimals, for example , 0.45445544455544445555…, or . Any square root that is not a perfect root is an irrational number.

## What is an example of an irrational solution?

Correct answer:

An irrational number is any number that cannot be written as a fraction of whole numbers. **The number pi and square roots of non-perfect squares** are examples of irrational numbers.

## Which of the following is always a rational?

(i)

**The sum of two rationals is always rational**. (ii) The product of two rationals is always rational. (iii) The sum of two irrationals is always an irrational.## Is the irrational number always irrational?

The product of any rational number and any irrational number will always be

**an irrational number**. This allows us to quickly conclude that 3π is irrational.## Is 4 irrational or rational?

4 is

**a rational number**because it can be expressed as the quotient of two integers: 4 ÷ 1.## Is 5 rational or irrational?

The number 5 is present in the real numbers. Therefore, the number 5 is

**a rational, whole**, integer and real number.## Is 7 rational or irrational?

No. 7

**is not an irrational number**.## Is 6 rational or irrational?

The number 6 is an integer. It’s also a

**rational number**. Why? Because 6 can also be expressed as 6/1.## Is 8 irrational or rational?

Rational Numbers

The number 8 is a **rational** number because it can be written as the fraction 8/1.

## Is 11 rational or irrational?

11 is

**a rational number**because it can be expressed as the quotient of two integers: 11 ÷ 1.## Is 16 rational or irrational?

16 is

**a rational number**because it can be expressed as the quotient of two integers: 16 ÷ 1.## Is 3.14 a rational number?

3.14 can be written as a fraction of two integers: 314100 and

**is therefore rational**. π cannot be written as a fraction of two integers.## Is root6 irrational?

Thus, the value obtained for the root of 6 satisfies the condition of being a non-terminating and non-repeating decimal number that keeps extending further after the decimal point which makes √6

**an irrational number**. Hence, √6 is an irrational number.## Is 18 rational or irrational?

The number 18 is

**a rational number**. Rational numbers are those that result when one integer is divided by another.## Is 81 rational or irrational?

81 is a

**rational number**.## Is 21 rational or irrational?

21 is

**a rational number**because it can be expressed as the quotient of two integers: 21 ÷ 1.## Is 19 rational or irrational?

19 is

**a rational number**because it can be expressed as the quotient of two integers: 19 ÷ 1.## Is 25 a rational?

The number 25 is

**a rational number**. It is a whole number that can be written as the fraction 25/1.