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What is the least positive integer x for which 12x is the cube of an integer?
2
What is the least positive integer n such that the product 800n is a perfect cube?
10
What is the difference between a cube and a perfect cube?
A cube is any number multiplied by itself three times, eg 2 cubed = 2³ = 2×2×2 = 8; 1.5³ = 1.5×1.5×1.5 = 3.375 A perfect cube is an integer (whole number) that is the cube of an integer, eg 8 is a perfect cube as it is 2 cubed, but 9 is not a perfect cube as 9 = 2.08008382...³
How is 784 a perfect cube?
The number 784 is not a perfect cube. A perfect cube is defined as a number that can be expressed as the cube of an integer (i.e., (n^3) for some integer (n)). The cube root of 784 is approximately 9.24, which is not an integer, indicating that 784 cannot be represented as a whole number cubed.
Is 5 a cube number?
No, 5 is not a cube number. A cube number is the result of an integer multiplied by itself twice (n × n × n). The cube numbers closest to 5 are 1 (1³) and 8 (2³).
What is the least positive integer x for which 12x is the cube of an integer?
2
What is the least positive integer x for which 594x is the cube of an integer?
x = 484
What is the least positive integer n such that the product 800n is a perfect cube?
10
What is the least positive integer a for which 25a is the cube integer?
The only solution is that a = 5 then 25a = 25 x 5 = 52 x 5 = 53.
What is the smallest positive integer e such that the cube root of 600e is an integer?
45
What is the difference between a cube and a perfect cube?
A cube is any number multiplied by itself three times, eg 2 cubed = 2³ = 2×2×2 = 8; 1.5³ = 1.5×1.5×1.5 = 3.375 A perfect cube is an integer (whole number) that is the cube of an integer, eg 8 is a perfect cube as it is 2 cubed, but 9 is not a perfect cube as 9 = 2.08008382...³
How is 784 a perfect cube?
The number 784 is not a perfect cube. A perfect cube is defined as a number that can be expressed as the cube of an integer (i.e., (n^3) for some integer (n)). The cube root of 784 is approximately 9.24, which is not an integer, indicating that 784 cannot be represented as a whole number cubed.
Is 77 a cube number?
If by cube you mean perfect cube (a cube of an integer), then no, and the nearest perfect cube is 81.
Explain with workings What is the smallest positive integer q such that 25q is a perfect cube?
5
Is 5 a cube number?
No, 5 is not a cube number. A cube number is the result of an integer multiplied by itself twice (n × n × n). The cube numbers closest to 5 are 1 (1³) and 8 (2³).
What is the integer zero of itself?
It is the additive inverse of itself, it is the square, cube, ... any positive power of itself.
Is the cube root of a negative number positive or negative?
The cube root of a negative number is negative
