Question

prove that 3+√5 is an irrational number​

Answer 1

Answer:

⇒ 3 + 5 = p q , where p and q are the integers and q ≠0. Since p , q and 3 are integers. ... This contradiction has arisen due to the wrong assumption that is a rational number. Hence, is an irrational number.

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Answer 2

Answer:

let 3+✓5 be a rational number.

so , 3+✓5=a/b

✓5=a/b-3

so , this implies that 3+✓5 is a rational number .

but , ✓3 is a irrational number

therefore , our assumption is wrong

so , 3+✓5 is a irrational number