Prove that 3+2√5 is Irrational [Irrational Numbers]

Prove that 3+2√5 is irrational
Note:
3+2√5 is proved irrational by a technique called "proof by contradiction"
Exercise 1.3 class 10 maths
Remember:
Rational numbers:
Numbers that can be expressed in p/q form.
Example: 10/20 or 17/13
Irrational numbers:
Numbers that can't be expressed in p/q form.
Example: √5, √2
Theorem 1.3: Let p be a prime number. If p divides a square, then p divides a, where a is a positive number.
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