Make 34 with four 9s

The classic four nines puzzle: build an expression from exactly four 9s that equals 34. 34 cannot be made with + - × ÷, concatenation, or decimals (the solver checked every expression) — solutions need square roots, factorials, or exponents.

Solutions using only + - × ÷

No expression made of four plain 9s and + - × ÷ reaches 34 — the solver checked every possible expression.

Solutions with concatenation and decimals

Concatenation and decimals do not help for 34 either — every combination was checked.

Solutions with square roots, factorials, exponents

(99 + sqrt(9)) / sqrt(9) = 34
(9 - sqrt(9) / .9) × sqrt(9)! = 34
sqrt(9)!! / (9 + 9) - sqrt(9)! = 34
(sqrt(9)! - .9) × sqrt(9)! / .9 = 34
(sqrt(9)! - .9) / .9 × sqrt(9)! = 34

…and 11 more at this tier.

16 distinct solutions found in total, after removing trivial rearrangements.

Make 33 with four 9s · Make 35 with four 9s

The Number Lab

Same idea, different constraints: four 9s, four 4s, or any four digits you like.

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Play the daily Four Nines puzzle, pick another number in the solver, or find more free math games.