Question

27. Prove that 7√5 is irrational.​

Answer 1

Answer:

let 7√5 is rational number s

7√5= p\q, q is not equal to zero

P and Q are integer

7√5=p/q

√5=p/7q

LHS is irrational and RHS is rational number which is not possible,So our supposition is wrong which is contradiction to the fact 7√5

.:7√5 is a irrational number

Answer 2

Step-by-step explanation:

On the contrary

Let us assume that

7✓5 is rational

7√5=p/q p, q are integer q not equal 0

√5=p/7q----(1)

So, P, q are integer and p, q not equal 0

P/7q is rational number

We know that

√5 is irrational

By EQ.(1)

Irrational=Rational

It is a contradiction

So,Our assumption is wrong

So, 7√5 is irrational

I Hope it Help U