Advertisements
Advertisements
प्रश्न
Find the smallest number by which of the following number must be multiplied to obtain a perfect cube.
675
उत्तर
| 3 | 675 |
| 3 | 225 |
| 3 | 75 |
| 5 | 25 |
| 5 | 5 |
| 1 |
675 = 3 × 3 × 3 × 5 × 5
Here, two 5s are left, which are not in a triplet. To make 675 a cube, one more 5 is required.
Then, we obtain
675 × 5 = 3 × 3 × 3 × 5 × 5 × 5 = 3375 is a perfect cube.
Hence, the smallest natural number by which 675 should be multiplied to make it a perfect cube is 5.
APPEARS IN
संबंधित प्रश्न
Find the cubes of the number 100 .
Find the cubes of the number 301 .
Write the cubes of 5 natural numbers which are of the form 3n + 1 (e.g. 4, 7, 10, ...) and verify the following:
'The cube of a natural number of the form 3n + 1 is a natural number of the same form i.e. when divided by 3 it leaves the remainder 1'.
By which smallest number must the following number be divided so that the quotient is a perfect cube?
8640
Find the units digit of the cube root of the following number 571787 .
Making use of the cube root table, find the cube root
7000
Find the cube-root of 729.
Find the cube-root of 1728.
Find the cube root 24 × 36 × 80 × 25
Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, find the cube root of the larger number.
