Advertisements
Advertisements
प्रश्न
Is 9720 a perfect cube? If not, find the smallest number by which it should be divided to get a perfect cube.
उत्तर
Given: 9720
Factors of 9720 = 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5
As we see, 3 and 5 do not have a pair to make a cube.
Hence 9720 should be divided with 3 × 3 × 5 to get perfect cube.
⇒ 9720 should divide with 45.
Now, after division we get 216 = 63
Now, 216 is a perfect cube.
APPEARS IN
संबंधित प्रश्न
Find the cube root of the following number 8 × 125 .
Evaluate: \[\sqrt[3]{8 \times 17 \times 17 \times 17}\]
Evaluate of the following
\[\sqrt[3]{\frac{729}{216}} \times \frac{6}{9}\]
Evaluate of the following
\[\sqrt[3]{\frac{0 . 027}{0 . 008}} \div \sqrt[]{\frac{0 . 09}{0 . 04}} - 1\]
Find the cube of: 54
Find the cube of: 2.1
Which of the following are cubes of an even number
216, 729, 3375, 8000, 125, 343, 4096 and 9261.
Cube of an even number is odd.
Cube of an even number is even.
Three numbers are in the ratio 1 : 2 : 3 and the sum of their cubes is 4500. Find the numbers.
