Advertisements
Advertisements
प्रश्न
Find the smallest number by which 200 should be multiplied to make it a perfect cube
उत्तर
| 2 | 200 |
| 2 | 100 |
| 2 | 50 |
| 5 | 25 |
| 5 | 5 |
| 1 |
We find 200 = `bar(2 xx 2 xx 2) xx 5 xx 5`
Grouping the prime factors of 200 as triplets, we are left with 5 × 5
We need one more 5 to make it a perfect cube.
So to make 200 a perfect cube multiply both sides by 5.
200 × 5 = `(bar(2 xx 2 xx 2) xx 5 xx 5) xx 5`
1000 = 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5
Now 1000 is a perfect cube.
∴ The required number is 5.
APPEARS IN
संबंधित प्रश्न
Which of the following is perfect cube?
1728
What happens to the cube of a number if the number is multiplied by 4?
Which of the following number is not perfect cubes?
1728
Show that: \[\sqrt[3]{27} \times \sqrt[3]{64} = \sqrt[3]{27 \times 64}\]
Making use of the cube root table, find the cube root 70 .
Making use of the cube root table, find the cube root
1100 .
Find if the following number is a perfect cube.
1938
If m is the cube root of n, then n is ______.
If a2 ends in 9, then a3 ends in 7.
Square root of a number x is denoted by `sqrt(x)`.
