Question

Prove That 5-Root2 Is Irrational

Answer 1

Step-by-step explanation:

Let us assume, to the contrary, that 5√2 is rational number. then, there exist co-prime positive integers a and b such that

5√2=a/b

√2=a/2b

√2 is rational (therefore 5,a and

b are integers

because a/2b is

a rational number)

this contradicts the fact that √2 is irrational. so, our assumption is not correct.

hence, 5√2 is an irrational number.