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Question
Find the cube root 24 × 36 × 80 × 25
Solution
| 2 | 24 |
| 2 | 12 |
| 2 | 6 |
| 3 | 3 |
| 1 |
| 2 | 36 |
| 2 | 18 |
| 3 | 9 |
| 3 | 3 |
| 1 |
| 2 | 80 |
| 2 | 40 |
| 2 | 20 |
| 2 | 10 |
| 5 | 5 |
| 1 |
24 = 2 × 2 × 2 × 3
36 = 2 × 2 × 3 × 3
80 = 2 × 2 × 2 × 2 × 5
25 = 5 × 5
24 × 36 × 80 × 25 = `bar(2 xx 2 xx 2) xx bar(2 xx 2 xx 2) xx bar(3 xx 3 xx 3) xx bar(2 xx 2 xx 2) xx bar(5 xx 5 xx 5)`
`root(3)(24 xx 36 xx 80 xx 25)` = 2 × 2 × 3 × 2 × 5 = 120
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