Question

prove that 3 + root 5 is an irrational number​

Answer 1

Answer:

Step-by-step explanation:

We already know that root 5 is an irrational number.

Now lets assume that 3+root 5 is rational.

3+root 5 = p/q  (p & q are co-prime and q is not equal to 0.

root 5=p/q - 3

(p-3q)/3=root5.

This contradicts our assumption as p, q and 3 are rational but root 5 is irrarional.

So it can be proved that 3+root5 is irrational

Answer 2

Answer:

I hope you got the answer.

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Step-by-step explanation: