Question

show that√2 is an irrational number

Answer 1

A proof that the square root of 2 is irrational. Let's suppose √2 is a rational number. Then we can write it √2 = a/b where a, b are whole numbers, b not zero. We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction.

Answer 2

√2 = 1.414

1.414 is Fraction number therefore √ 2 is irrational number