Advertisements
Advertisements
Question
Find if the following number is a perfect cube.
1938
Solution
2 | 1938 |
3 | 969 |
17 | 323 |
19 | 19 |
1 |
1938 = 2 × 3 × 17 × 19
∴ 1938 is not a perfect cube.
APPEARS IN
RELATED QUESTIONS
Find the smallest number by which the following number must be multiplied to obtain a perfect cube.
243
Find the cubes of the number 16 .
Write the cubes of 5 natural numbers of the form 3n + 2 (i.e. 5, 8, 11, ...) and verify the following:
'The cube of a natural number of the form 3n + 2 is a natural number of the same form i.e. when it is dividend by 3 the remainder is 2'.
What is the smallest number by which the following number must be multiplied, so that the products is perfect cube?
1323
By which smallest number must the following number be divided so that the quotient is a perfect cube?
107811
Prove that if a number is trebled then its cube is 27 times the cube of the given number.
What happens to the cube of a number if the number is multiplied by 5?
Write true (T) or false (F) for the following statement:
If a and b are integers such that a2 > b2, then a3 > b3.
Multiply 210125 by the smallest number so that the product is a perfect cube. Also, find out the cube root of the product.
Find the cube root of the following integer −2744000 .
Show that:
\[\frac{\sqrt[3]{729}}{\sqrt[3]{1000}} = \sqrt[3]{\frac{729}{1000}}\]
Find the units digit of the cube root of the following number 13824 .
Find the cube-root of 1728.
Find the cube-root of 64 x 27.
Find the cube-root of -512
Find the cube-root of 2.744
`root(3)(1000)` is equal to ______.
`root(3)(8 + 27) = root(3)(8) + root(3)(27)`.
Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, find the cube root of the larger number.
Three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 0.334125. Find the numbers.