Question

Give three examples to show that the sum of two rational numbers is always a rational numbers.​

Answer 1

Answer:

A rational number is a number which can be expressed as the ratio (quotient) of two integers.

Let M and N be any two rational numbers and let S = M+N.

Then there exists integers a, b, c and d such that M = a/b and N = c/d.

So S = a/b+c/d

= ad/bd+bc/bd

So S = (ad+bc)/bd.

Let g = ad+bc and h = bd.

Then S = g/h.

Since a, b, c and are integers, g and h are integers.

Therefore S is a rational number.

So the sum of any two rational numbers is also a rational number.

Answer 2

Answer:

I GOT ANSWER..............