Advertisements
Advertisements
प्रश्न
Find the cube root of the following number by the prime factorisation method.
512
बेरीज
Advertisements
उत्तर
| 2 | 512 |
| 2 | 256 |
| 2 | 128 |
| 2 | 64 |
| 2 | 32 |
| 2 | 16 |
| 2 | 8 |
| 2 | 4 |
| 2 | 2 |
| 1 |
Prime factorisation of 512 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
= 23 × 23 × 23 = (2 × 2 × 2)3
∴ `root3 512` = 2 × 2 × 2
= 8
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
\[\sqrt[3]{. . .} = \sqrt[3]{4} \times \sqrt[3]{5} \times \sqrt[3]{6}\]
The volume of a cubical box is 474.552 cubic metres. Find the length of each side of the box.
Evaluate:
\[\sqrt[3]{36} \times \sqrt[3]{384}\]
Evaluate:
\[\sqrt[3]{121} \times \sqrt[3]{297}\]
Making use of the cube root table, find the cube roots 7
Making use of the cube root table, find the cube root
8.6 .
Making use of the cube root table, find the cube root
7532 .
Making use of the cube root table, find the cube root
833 .
Find the cube root of 1728.
Find `root(3)(0.125)`.
