Advertisements
Advertisements
Question
Find the smallest number by which the following number must be divided to obtain a perfect cube.
135
Advertisements
Solution
| 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
RELATED QUESTIONS
Parikshit makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How many such cuboids will he need to form a cube?
Which of the following is perfect cube?
166375
Which of the following is perfect cube?
456533
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 9, then a3 ends in 7.
Show that:\[\sqrt[3]{- 125 - 1000} = \sqrt[3]{- 125} \times \sqrt[3]{- 1000}\]
Making use of the cube root table, find the cube root
780 .
Find the cube-root of `(729)/(-1331)`
Find the cube root 24 × 36 × 80 × 25
`root(3)(8 + 27) = root(3)(8) + root(3)(27)`.
