# 24 from 8,8,3,3 Puzzle - Solution

## The Puzzle:

## Our Solution:

1) Supplied by "mathsyperson":

8/(3-(8/3))

= 8/(1/3)

= 24

2) Supplied by "puzzler09" (using bonus rules):

((8 x 3!)/3)+8

= ((8 × 3 × 2 × 1)/3)+8

= (48/3)+8

= (16)+8

= 24

3) Supplied by "Mark" (using bonus rules):

(3!/∛8)*8

4) Supplied by "Daryl S" (using bonus rules):

(8-3)!/(8-3)

(∛8 × ∛8)!

(∛8 + ∛8)!

√(8×8×3×3)

8+(8×(3!/3))

((√(8+8) × (3/3))!

√(8+8) × (3+3)

(log base(3!/3) of 8) × 8

((log base(3!/3) of (8+8))!

5) Supplied by "Sunil Prajapati" (using bonus rules):

√(8×8)×√(3×3) which is a variation of √(8×8×3×3) by Daryl S

6) Supplied by "Robert Veith" (using bonus rules):

(3! - 3) x √(8 × 8)

(3 + (3(8 - 8))!)!

(3! - 3 + 8/8)!

(3! - 3 + (8 - 8)!)!

(3! x 8)/(8 - 3!)

(3 + ∛(8 - 8)!)!

(3 + ∛(8/8))!

3!/(3/8) + 8 = 24

8/(3-(8/3))

= 8/(1/3)

= 24

2) Supplied by "puzzler09" (using bonus rules):

((8 x 3!)/3)+8

= ((8 × 3 × 2 × 1)/3)+8

= (48/3)+8

= (16)+8

= 24

3) Supplied by "Mark" (using bonus rules):

(3!/∛8)*8

4) Supplied by "Daryl S" (using bonus rules):

(8-3)!/(8-3)

(∛8 × ∛8)!

(∛8 + ∛8)!

√(8×8×3×3)

8+(8×(3!/3))

((√(8+8) × (3/3))!

√(8+8) × (3+3)

(log base(3!/3) of 8) × 8

((log base(3!/3) of (8+8))!

5) Supplied by "Sunil Prajapati" (using bonus rules):

√(8×8)×√(3×3) which is a variation of √(8×8×3×3) by Daryl S

6) Supplied by "Robert Veith" (using bonus rules):

(3! - 3) x √(8 × 8)

(3 + (3(8 - 8))!)!

(3! - 3 + 8/8)!

(3! - 3 + (8 - 8)!)!

(3! x 8)/(8 - 3!)

(3 + ∛(8 - 8)!)!

(3 + ∛(8/8))!

3!/(3/8) + 8 = 24