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What is the difference between rational and irrational numbers?

GeneralClass 12AllAnswered 27 Mar 2026
Answer
Rational Numbers Irrational Numbers
Can be expressed as p/q (q ≠ 0) Cannot be expressed as p/q
Examples: 1/2, 0.5, 5, 0.333... Examples: √2, π, √3, e
Decimal form either terminates or repeats Decimal form neither terminates nor repeats
Forms the set Q Forms the set R - Q

Together: Rational + Irrational = Real Numbers (R)

General · Class 12