Question

The sum of two irrational number need not be irrational.Given an example

Answer 1

eg (2+root3) +(2-root3)
=4 which is rational

Answer 2

Example :-

4 + √7 is an irrational number.

4 - √7 is an irrational number

Let's add them

(4 + √7) + (4 - √7)

= 4 + √7 + 4 - √7

= 8

and 8 is a rational number!

Hope you got it.

Other info :-

★ Sum of a rational and an irrational number is always irrational

★ Difference of a rational and irrational number is always irrational

★ Multiplication of a rational and irrational number is always irrational

★ Division of a rational and irrational number is always irrational.

★ Sum of two or more irrational number need not be irrational

★ Difference of two or more irrational number need not be irrational

★ Product of two or more irrational number need not be irrational

★ Division of two or more irrational number need not be irrational