Advertisements
Advertisements
प्रश्न
Show that 1944 is not a perfect cube
Advertisements
उत्तर
| 2 | 1944 |
| 2 | 972 |
| 2 | 486 |
| 3 | 243 |
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
1944 = 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3
= `bar(2 xx 2 xx 2) xx bar(3 xx 3 xx 3) xx 3 xx 3`
= 23 × 33 × 3 × 3
There are two triplets to make further triplets we need one more 3.
∴ 1944 is not a perfect cube.
APPEARS IN
संबंधित प्रश्न
Find the smallest number by which the following number must be divided to obtain a perfect cube.
135
Which of the following is perfect cube?
64
What happens to the cube of a number if the number is multiplied by 4?
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 divides b, then a3 divides b3.
Write true (T) or false (F) for the following statement:
If a2 ends in 5, then a3 ends in 25.
Find the cube root of the following natural number 4913 .
Find if the following number is a perfect cube?
243
Find the cube-root of -2744000
The cube root of 250047 is 63
