Advertisements
Advertisements
प्रश्न
Which is the smallest number that must be multiplied to 77175 to make it a perfect cube?
Advertisements
उत्तर
The prime factor of 77175 are
| 3 | 77175 |
| 3 | 25725 |
| 5 | 8575 |
| 5 | 1715 |
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
= 3 x 3 x 5 x 5 x 7 x 7 x 7
= (7 x 7 x 7) x 3 x 3 x 5 x 5
Clearly, 77175 must be multiplied by 3 x 5
= 15
APPEARS IN
संबंधित प्रश्न
Find the cube root of the following number by the prime factorisation method.
64
Find the cube root of the following number by the prime factorisation method.
13824
Using the method of successive subtraction examine whether or not the following numbers is perfect cube 345 .
\[\sqrt[3]{. . .} = \sqrt[3]{4} \times \sqrt[3]{5} \times \sqrt[3]{6}\]
The volume of a cubical box is 474.552 cubic metres. Find the length of each side of the box.
Making use of the cube root table, find the cube root
732 .
Find the cube root of 1728.
Find `root(3)(0.125)`.
The cube root of 540 × 50 is ___________
Using prime factorisation, find the cube roots of 2197
