Prove that 3+2√5 is irrational
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To prove that 3+2✓5 is irrational.
➡️ We have to prove that 3+2✓5 is irrational
➡️Let us assume the opposite,
➡️i.e ,3+2✓5 is rational
➡️Hence ,3+2✓5 can be written in the form a/b
➡️where a and b (b≠ 0) are co-prime (no common factor than 1)
➡️Hence 3+2✓5=a/b
➡️2✓5 = a/b-3
➡️2✓5=a-3b/b
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