Make 76 with four 9s

The classic four nines puzzle: build an expression from exactly four 9s that equals 76. 76 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 76 — the solver checked every possible expression.

Solutions with concatenation and decimals

Concatenation and decimals do not help for 76 either — every combination was checked.

Solutions with square roots, factorials, exponents

(sqrt(9)!! - 9) / 9 - sqrt(9) = 76
(sqrt(9)!! - sqrt(9)! × sqrt(9)!) / 9 = 76
sqrt(9)! × (sqrt(9)! + sqrt(9)! / .9) = 76

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

How 76 compares

76 has 3 distinct solutions across all three tiers — #8 scarcest of all 100 targets. Next door, 75 has 53 solutions and 77 has 35 solutions.

If 76 went down easily, make 94 with four 9s — just one solution, the nearest step up in scarcity.

Make 75 with four 9s · Make 77 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

Got what you came for?

Stay for something you did not search for.

Four Nines — the daily puzzle: four 9s, one target, new at midnight
The Reflex Lab — nine ways to measure your hands and memory, none of them polite about it
hand me something weird — a random pick from the directory. Could be the horse.

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