Question

Q. 9. Prove that 3+ 2 V5 is irrational.​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

Let, 3 + 2√5 be rational.

So, 3 + 2√5 = p/q

where, p and q are co prime.

3 + 2√5 = p/q

or, 2√5 = p/q + 3

or, 2√5 = p + 3q / q

or √5 = p + 3q / 2q

since p, q, 3 and 2 are all intergers do √5 is irrational.

This contradict the fact that √5 is irrational.

So, 3 + 2√5 is irrational.