Question

prove that 7+ √5 is irrational​

Answer 1

Answer:

Mark me as brainliest or i will delete the answer

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

Step-by-step explanation:

Bhai..........

let's see

let 7+ √5 is a rational number.

.: it can be written as,

7+ √5=a/b

.: a/b-7=√5

a-7b/b=√5

here a-7b/b is a rational number which is equal to √5(irritation number)

it's never possible that rational number is equal to irrational number.

this contradiction arises due to our wrong assumption.

hence 7+ √5 is a irrational number.

hope it is helpful........