Question

prove that 7root 5 is irrational ​

Answer 1

Step-by-step explanation:

hence it is an irrational number

Answer 2

Given: 7√5

To prove: 7√5 is irrational.

Proof: Let us assume, to the contrary, that 7√5 is rational.

7√5 = p/q [ Where p and q are co-prime and q is not equal to 0.]

➠√5 = p/7q

Since, p and q are integers.

p/7q is rational and so √5 is rational.

But this contradicts that fact that √5 is irrational.

So, 7√5 is an irrational.