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प्रश्न
Which of the following are cubes of even natural numbers?
216, 512, 729, 1000, 3375, 13824
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उत्तर
We know that the cubes of all even natural numbers are even.
The numbers 216, 512, 1000 and 13824 are cubes of even natural numbers.
The numbers 216, 512, 1000 and 13824 are even and it could be verified by divisibility test of 2, i.e., a number is divisible by 2 if it ends with 0, 2, 4, 6 or 8.
Thus, the cubes of even natural numbers are 216, 512, 1000 and 13824.
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संबंधित प्रश्न
Find the smallest number by which the following number must be multiplied to obtain a perfect cube.
256
Find the smallest number by which the following number must be divided to obtain a perfect cube.
135
Which of the following is perfect cube?
1000
By which smallest number must the following number be divided so that the quotient is a perfect cube?
8788
Find the cube root of the following natural number 343 .
Find the cube root of the following integer −2744000 .
Show that: \[\sqrt[3]{27} \times \sqrt[3]{64} = \sqrt[3]{27 \times 64}\]
Show that:
\[\frac{\sqrt[3]{- 512}}{\sqrt[3]{343}} = \sqrt[3]{\frac{- 512}{343}}\]
Making use of the cube root table, find the cube root 70 .
Find the cube-root of -0.512
