Question

Provide that √7 is irrational number.​

Answer 1

Answer:

Here is u r answer

Step-by-step explanation:

Let us assume that √7 be rational.

And we know that ever rational no can be written as the form of p/q where q≠ 0

√7 = p / q

√7 x q = p

squaring on both sides

7q² = p² ------1.

p is divisible by 7

p = 7c [c is a positive integer] [squaring on both sides ]

p²= 49c²

subsitute p² in eqn(1) we get

7q² = 49 c²

q² = 7c²

q is divisble by 7

So we can say that q and p have a common factor 7 but this contradicts the fact thatp & q are co prime

This contradiction has been arised due to our wrong  assumption that  √7 is rational

So we conclude that √7 is irrational

Hence proved

I hope it will help u

And dont forget to mark me as brainlist❤ ꈍᴗꈍ