Question

2-√5 is irrational number vs rational numbwr

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

Let 2-√5 be a rational number.

Rational numbers can be represented in the form of p/q.

Let p/q be represented by 'a'.

As we have assumed 2-√5 to be a rational number.

=> 2-√5 = a

=>2 = √5a

We know that 2 is a Rational Number.

And √5 is an Irrational Number.

√5 x a will also be an irrational number.

A Rational Number can never be equal to an Irrational Number.

So our assumption is wrong 2-√5 is an Irrational number.

Hope this helped you.

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