Question

classify that each of the following are rational or irrational no. 3-√5​

Answer 1

3 - root 5 is an irrational number

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Answer 2

Answer:

Step-by-step explanation:

Let 3-√5 is rational

We can find co primes a and b (b not equal to 0) such that 3-√5=a/b

3-a/b=√5

3b-a/b=√5.......(1)

Since a and b are integers ,the RHS of the equation 1 3b-a/b is rational so the LHS √5 also rational

But this contradicts the fact that √5 is irrational

So our assumption was wrong that 3-√5 is rational

So,we conclude that 3-√5 is irrational....

Hope! It helps you....