Question

2-root5 is rational or irrational​

Answer 1

It is irrational.

It is because root 5 is irrational and any irrational number is divided, multiplied, added or subtracted it is irrational

Answer 2

Answer:

2-√5 is irrational.

Step-by-step explanation:

Sum of a rational and an irrational number is always irrational.

Proof by contradiction:

Let's say x is a rational number and y is an irrational number.

Suppose: x+y is rational

Let x+y = z

So z is supposedly a rational number.

Now sum of 2 rational numbers is always rational.

Let's add -x to z, as x is rational so -x is also rational.

z-x = x+y-x = y

But we know that y is irrational.

Hence x+y must be irrational.

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