Question

prove that 3-√5 is irrational

Answer 1

Answer:

Step-by-step explanation:

Let us assume that 3 - √5 is rational. so, it can be expressed as a/b where a and b are coprimes.

Now,

3 -√5 = a/b

3 - a/b = √5

Here, 3 , a, and b are rationals

But, we know that √5 is irrational

Therefore, this contradicts our fact that 3 - √5 is rational

Hence, 3 - √5 is irrational

Hence proved.

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Answer 2

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