burger fun / Four Nines / Solver

Make 36 with four 9s

The classic four nines puzzle: build an expression from exactly four 9s that equals 36. 36 can be made with nothing but four 9s, + - × ÷, and parentheses.

Solutions using only + - × ÷

• 9 + 9 + 9 + 9 = 36

Solutions with square roots, factorials, exponents

• 9 + 9 × 9 / sqrt(9) = 36
• 9 + sqrt(9 × 9 × 9) = 36
• (9 + 99) / sqrt(9) = 36
• 9 × sqrt(9)! - 9 - 9 = 36
• 9 × (9 / 9 + sqrt(9)) = 36

…and 912 more at this tier.

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

Make 35 with four 9s · Make 37 with four 9s

The Number Lab

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

• Four Nines — the daily puzzle
• Four Nines solver — every target, solved
• Four Fours — the 1881 original
• Four Fours solver — including the impossible five
• Make 24 solver — any four digits
• Today's 24 — one new hand a day

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