Question

2-√5 rational or irrational number step by step​

Answer 1

Answer:

It is irrational number

Step-by-step explanation:

Let us assume that 2- root5 is rational

Then, the rational number is in the form p/q where p and q are co prime numbers and q not equal to zero

Now,

2 - root5 = p /q

- root5 = p/2q ( root 5 is irrational)

Irrational is not equal to rational

Therfore, this contradiction is arised due our incorrect assumption that 2-root5 is rational number but it is irrational number.

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