Advertisements
Advertisements
प्रश्न
Find the smallest number by which the following number must be divided to obtain a perfect cube.
135
Advertisements
उत्तर
| 3 | 135 |
| 3 | 45 |
| 3 | 15 |
| 5 | 5 |
| 1 |
135 = 3 × 3 × 3 × 5
Here, one 5 is left, which is not in a triplet.
If we divide 135 by 5, then it will become a perfect cube.
Thus, 135 ÷ 5 = 27
= 3 × 3 × 3 is a perfect cube.
Hence, the smallest number by which 135 should be divided to make it a perfect cube is 5.
APPEARS IN
संबंधित प्रश्न
Find the smallest number by which the following number must be divided to obtain a perfect cube.
81
Find the cubes of the number 21 .
Write true (T) or false (F) for the following statement:
For an integer a, a3 is always greater than a2.
Show that the following integer is cube of negative integer. Also, find the integer whose cube is the given integer −5832 .
Multiply 210125 by the smallest number so that the product is a perfect cube. Also, find out the cube root of the product.
Find if the following number is a perfect cube?
1728
Find the cube-root of 8000.
Find the cube-root of -512
Find the cube-root of 0.000027
The cube root of a number x is denoted by ______.
