Question

prove that ✓7+✓5 is an irrational number​

Answer 1

Answer:

HERE IS UR ANSWER

Step-by-step explanation:

Let 7√5 be a rational number.

So,

7√5 = p/q.

(p and q are co-prime number and q ≠ 0)

=> √5 = p/7q

As, we can see that p/7q ia rational so √5 should also be rational. But this contradict the fact that √5 is irrational.

So, by this we can say that 7√5 is irrational number.

Hope this helps...:)

Answer 2

Let us suppose that root 7 + root 5 is rational. Root 7 + Root 5 = a/b . where a and b are coprimes and b not equal to zero . so , root 7b + root 5b = a . squaring on both sides ...............