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Question
Find the cube root of 729 and 6859 prime factorisation.
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Solution
| 3 | 729 |
| 3 | 243 |
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
`root(3)(729) = root(3)(bar(3 xx 3 xx 3) xx bar(3 xx 3 xx 3))`
= 3 × 3
`root(3)(729)` = 9
| 19 | 6859 |
| 19 | 361 |
| 19 | 19 |
| 1 |
`root(3)(6859) = root(3)(19 xx 19 xx 19)`
`root(3)(6859)` = 19
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