Question

prove that root 3+root 7 is irrational​

Answer 1

Answer:

√3+√7 is irrational.

Step-by-step explanation:

Let us assume that √3+√7 is rational.

That is , we can find coprimes a and b (b≠0) such that  

Therefore,

Squaring on both sides ,we get

Rearranging the terms ,

Since, a and b are integers ,  is rational ,and so √3 also rational.

But this contradicts the fact that √3 is irrational.

This contradiction has arisen because of our incorrect assumption that √3+√7 is rational.

Hence, √3+√7 is irrational.

Answer 2

Answer:

do it on your own

sorry