Advertisements
Advertisements
Question
Write true (T) or false (F) for the following statement:
For an integer a, a3 is always greater than a2.
Solution
False
It is not true for a negative integer. Example:
APPEARS IN
RELATED QUESTIONS
Which of the following is perfect cube?
216
What happens to the cube of a number if the number is multiplied by 4?
What happens to the cube of a number if the number is multiplied by 5?
For of the non-perfect cubes in Q. No. 20 find the smallest number by which it must be divided so that the quotient is a perfect cube.
By taking three different values of n verify the truth of the following statement:
If n leaves remainder 1 when divided by 3, then n3 also leaves 1 as remainder when divided by 3.
Write true (T) or false (F) for the following statement:
8640 is not a perfect cube.
Write true (T) or false (F) for the following statement:
If a divides b, then a3 divides b3.
Find the smallest number that must be subtracted from those of the numbers in question 2 which are not perfect cubes, to make them perfect cubes. What are the corresponding cube roots?
Show that:\[\sqrt[3]{- 125 - 1000} = \sqrt[3]{- 125} \times \sqrt[3]{- 1000}\]
Find the cube-root of `− 27/343`
