Question

34. Find the smallest number that should be multiplied with 54000 to make it a perfect cube

Answer 1

Answer:

4

Step-by-step explanation:

54000 = 2 × 3 × 3 × 3 × 10 × 10 × 10

Here you can see that 10 and 3 are making perfect cube while 2 needs two more 2s to make a perfect cube

∴ 4 must be multiplied with 54000 to make it a perfect cube

Answer 2

2 | 54000

2 | 27000

2 | 13500

2 | 6750

3 | 3375

3 | 1125

3 | 375

5 | 125

5 | 25

5 | 5

| 1


3$\sqrt{54000}$ = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5

= 2 × 3 × 5

Only 2 is not in cube pair



So, 2 × 2 = 4 should be multiplied to 54000 to get a perfect cube.