Question

(3+√5) is rational or irrational?​

Answer 1

Answer:

Answer: 3+ √5 is an irrational number.

Answer 2

Step-by-step explanation:

Let assume that (3+√5) is rational number

Now,

3+√5=a/b

[Here a and b are co prime number,where b is not equal to 0]

√5=a/b-3

√5=(a-3b)/b

Here, (a-3b)/b is a rational number

But we know that √5 is irrational number.

So, (a-3b) /b is also irrational number

Hence, it is contraction to assumption.

Thus, 3+√5 is an irrational number