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प्रश्न
Find the cube root of the following number.
729
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उत्तर
To find the cube root of 729, let us factorise 729 first.
| 3 | 729 |
| 3 | 243 |
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
729 = 3 × 3 × 3 × 3 × 3 × 3
\[\sqrt[3]{729} = \sqrt[3]{3\times3\times3\times3\times3\times3}\]
\[\Rightarrow\sqrt[3]{729} = \sqrt[3]{{(3\times3\times3)}\times{(3\times3\times3)}}\]
\[\Rightarrow\sqrt[3]{729} = 3\times3\]
\[\Rightarrow\sqrt[3]{729} = 9\]
Hence, the cube root of 729 is 9.
संबंधित प्रश्न
The cube of a two-digit number may have seven or more digits.
Find the cube of \[\frac{7}{9}\] .
Find which of the following number is cube of rational number \[\frac{125}{128}\] .
Find the cube root of the following number by successive subtraction of number:
1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, 397, ... 1728 .
Evaluate: \[125\sqrt[3]{\alpha^6} - \sqrt[3]{125 \alpha^6}\]
If `root(3)(729)` = 9 then `root(3)(0.000729) = ?`
Find the cube root of the following number.
−2744
Find the cube of: -3
Find the cube of 17.
A number having 7 at its ones place will have 3 at the ones place of its cube.
