Question

prove that 3+2√5 is irrational no.​

Answer 1

Answer:

Hey mate..!!

here is ur answer...!

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Answer 2

Answer:

Here is your answer..

Let us assume 3+2√5 is a rational number...

3+2√5 =a/b (where b≠0)

3 = a/b -2√5

Squaring on both sides...

(3)²= (a/b-2√5)²

9 = a²/b²+20 - 2a/b 2√5

Rearranging...

2a/b 2√5 = a²/b²+20-9

2a/b 2√5 = a²+11b²/b²

√5 = a²+11b²/4ab

Here L. H. S ≠ R. H. S

Hence, 3+2√5 is an irrational numbers..

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