Question

prove that 3+✓5 is a irrational
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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

Let us assume that the given number 3+✓5 is a rational number.

Hence, 3+✓5 = p/q, where p and q are co primes.

Now, shifting 3 to the other side.

✓5 = p/q - 3

By LCM,

✓5 = (p-3q)/q

Now, we observed that the right hand side is a proper rational number where as the left hand side is an irrational number.

Hence, our assumption is contradicted and we come to a result : 3+✓5 is an irrational number.

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