Advertisements
Advertisements
Question
Find if the following number is a perfect cube?
24000
Solution
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
RELATED QUESTIONS
Find the cubes of the number 40 .
Which of the following is perfect cube?
3087
Which of the following is perfect cube?
4608
Which of the following is perfect cube?
456533
Which of the following are cubes of odd natural numbers?
125, 343, 1728, 4096, 32768, 6859
What is the smallest number by which the following number must be multiplied, so that the products is perfect cube?
107811
By which smallest number must the following number be divided so that the quotient is a perfect cube?
1600
Write true (T) or false (F) for the following statement:
392 is a perfect cube.
Find the cube root of the following natural number 1157625 .
Find the cube root of the following natural number 33698267 .
Find the cube root of the following integer −2744000 .
Show that: \[\sqrt[3]{- 125 \times 216} = \sqrt[3]{- 125} \times \sqrt[3]{216}\]
Find the tens digit of the cube root of each of the numbers in Q. No. 15.
Find the cube-root of 729.
Find the cube-root of 4096.
Find the cube-root of -0.512
`root(3)(1000)` is equal to ______.
If m is the cube root of n, then n is ______.
The cube root of 8000 is 200.
