Question

Give example of two rational numbers whose difference is an irrational number.​

Answer 1

Answer:

10 and 8

Step-by-step explanation:

Answer 2

A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator and the denominator are whole numbers.

On the other hand, all numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction.

So, let us take two irrational numbers a=4+ 2

and b=2+ 2

and we now calculate a−b as follows:

a−b=(4+ 2 )−(2+ 2)=4+ 2 −2− 2=2= 12

Therefore, the difference of two irrational numbers a and b is 2 and from the above defination of rational numbers, we get that 2 is a rational number.

Hence, the difference of two irrational numbers 4+ 2

and 2+ 2

is a rational number.