Advertisements
Advertisements
प्रश्न
Find if the following number is a perfect cube?
24000
Advertisements
उत्तर
24000
∵ 24000 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5
| 2 | 24000 |
| 2 | 12000 |
| 2 | 6000 |
| 2 | 3000 |
| 2 | 1500 |
| 2 | 750 |
| 3 | 375 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
= (2)3 x (2)3 x (5)3 x 3
∴ 24000 is not a perfect cube.
APPEARS IN
संबंधित प्रश्न
Find the smallest number by which the following number must be multiplied to obtain a perfect cube.
243
Find the smallest number by which the following number must be multiplied to obtain a perfect cube.
72
Find the smallest number by which of the following number must be divided to obtain a perfect cube.
128
Find the cubes of the number 21 .
Find the cubes of the number 301 .
Write the cubes of 5 natural numbers of the form 3n + 2 (i.e. 5, 8, 11, ...) and verify the following:
'The cube of a natural number of the form 3n + 2 is a natural number of the same form i.e. when it is dividend by 3 the remainder is 2'.
Write true (T) or false (F) for the following statement:
No cube can end with exactly two zeros.
Write true (T) or false (F) for the following statement:
If a and b are integers such that a2 > b2, then a3 > b3.
Write true (T) or false (F) for the following statement:
If a2 ends in 5, then a3 ends in 25.
Which of the following number is cube of negative integer - 2744 .
Three numbers are in the ratio 1 : 2 : 3. The sum of their cubes is 98784. Find the numbers.
Making use of the cube root table, find the cube root
1100 .
Find the cube-root of 9261.
Find the cube-root of 3375.
Find the cube-root of -2744000
If a2 ends in 5, then a3 ends in 25.
If a2 ends in 9, then a3 ends in 7.
Cube roots of 8 are +2 and –2.
`root(3)(8 + 27) = root(3)(8) + root(3)(27)`.
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.
