Question

Prove that root 7 is irrational

Answer 1

It cannot be expressed in p/ q form ... that’s why...

Answer 2

HEY BUDDY HERE IS UR ANSWER !!

Let root 7 be rational number

root7 = p/q

[p and q be co-prime number , where q is not equal to 0 ]

(root 7)^2 = (p/q)^2 [squaring both the sides ]

7 = p^2/q^2
7/q^2 =p^2 --- (1)

p^2 divides 7
p divides 7

now let p^2 = 7p

put value in eq (1)
7/q^2 = (7p)^2
7/q^2 = 49 p^2
q^2 = 49p^2 / 7
q^2 = 7 p^2

q^2 divides 7
q divides 7

Hence ,our contradiction is wrong
root 7 is irrational number .

Hope u like my process !

》》 BE BRAINLY 《《