prove that 3+2✓5 is irrational
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prove that 3+2 root 5 is irrational
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assume that 3+2√5 is rational
3+2√5=a/b
2√5=a/b-3
2√3=a-3b/b
√3=a-3b/2b
therefore a-3b/2b is rational
but √3 is irrational
by contradiction,
3+2√3 is irrational
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