Question

Show that √3 is an is
irrational number​

Answer 1

Step-by-step explanation:

hv a many many happy New year resolutions it e T H the best view of the

Answer 2

Answer:

given

√3 is an irrational number

let √3 is a rational number

√3=p|q ( q not equal to 0) (p,q) = 1

squring on both sides

(√3)x = (p|q)2

3=p2 | q2

3q2 =p2 =1

p2 is mulpitiple of = 3 = p is also multiple of 3

let p= 3k

put p= 3k in equation (1)

3q2 = [3k ]2

3q2 = 9k2

q2 = 9k2

3

q2 = 3k2

q2 is multiple of 3 = q is also multiple of 3

the height common factor = 3

this is a contradiction our assumption is false

√3 is an irrational

I hope it helps for you..