Question

show that root 2 plus root 3 is irrational​

Answer 1

Answer:

Let us assume that root 2 plus root 3  is rational.

Then, according to the definition of rational numbers, there exists p and q (co-prime to each other, integers and q≠0) such that

Since p and q are integers, so the fraction on the right-hand side of the above equation is rational.

This implies that √3 is also rational, which is a contradiction.

Thus, our assumption is wrong and hence  is  irrational.

Answer 2

Answer:

IT IS THERE IN TEXTBOOK DEAR

THEN ALSO   ....................... HERE IS THE ANSWER

Step-by-step explanation:

Let us assume that root 2 plus root 3  is rational.Then, according to the definition of rational numbers, there exists p and q (co-prime to each other, integers and q≠0) such thatSince p and q are integers, so the fraction on the right-hand side of the above equation is rational.This implies that √3 is also rational, which is a contradiction.Thus, our assumption is wrong and hence it is irrational.

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