Question

PROVE THAT ROOT 5 IS AN IRRATIONAL NUMBER

Answer 1

let root 5 is a rational number then, 5= a/b So that square both side (5)ka square =a/b ka square ....................

Answer 2

Answer:

Step-by-step explanation:

5q^2=p^2

It means p^2 is a multiple of 5

then p is also a multiple of 5

p=5r(let r be some integer)

Squaring on both sides

p^2=25r^2

We know that p^2=5q^2

5q^2=25r^2

q^2=25r^2/5

q^2=5r^2

It means q^2 is a multiple of 5

q is also a multiple of 5