Question

Show that √
3 is an irrational number.​

Answer 1

Step-by-step explanation:

1. Because √3 in decimal and not a whole number √3=1.732

Answer 2

Let p/b be a rational no where o and b are reduced to lowest terms

P/b =√3

P^2/b^2 =3

P^2 =3.b^2

...p is divided by 3.... Division algorithm

Let p=3m

p ^2 =9 m^2

3 b^2 =9m^ 2

b^2 =3m^2

b is divided by 3....... Division algorith

...which contradicts our statement.... Where p and b are reduced to their lowest terms..... √3 is irrational no

Step-by-step explanation: