0
k = 98.
In the prime factorization (in power format) of a perfect cube, every prime must be to the power of a multiple of 3.
756 = 2^2 x 3^3 x 7
Thus the smallest perfect cube that is a multiple of 756 is 2^3 × 3^3 × 7^3; to obtain this need to multiply 756 by 2^1 × 3^0 × 7^2 = 98
Thus the smallest k to make 756k a perfect prime is k = 98.
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What is the smallest integer greater than 1 that is both a perfect square and perfect cube?
its 81
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.
What is a perfect cube number?
A perfect cube is the cube of an integer (whole number). This means that, for n to be a perfect cube, n = x3, x∈ℤ Eg. ±1 [=(±1)3], 8 [=(±2)3], ±27 [= (±3)3], etc.
Which is the smallest natural number ending in '5' that is a perfect cube?
125
Is 196 perfect square or perfect cube?
196's prime numbers are (2) (2) (7) (7). For example, if you square those prime numbers you would get 14. Why? Because u need equal integers within a square root, so that you can take that integer outside the square root. With the same knowledge, we can apply ask the question whether 196 is a cube root. If it's a cube root, then it needs to have 3 same integer (ex: 3x3x3x4x4x4x; 2x2x2x7x7x7). As you can see we don't have third same integer. Also, even if it is 2x2x2x7x7, it cannot be a cube root because it is missing the third 7. So the answer is that 196 is a perfect square and not a perfect cube. Note: you cannot have a square root of a negative integer, if the question is "is -196 a perfect square or a perfect cube", then the answer is neither. Of course you can SQUARE the negative number (ex: (-2)^2=+/- 4), but you cannot mathematically square root a negative number unless your using the imaginary integer "i". I hope it answers your question and just a bit more.
What is the smallest integer where the integer before it is a perfect square and the integer after it is a perfect cube?
The integer is 26
Find the smallest integer k such that 756k is a perfect cube?
Factor 756 into prime factors. Then add additional prime factors, such that each prime factor occurs a number of times that is a multiple of 3. The product of the additional prime factors is "k".
What is the smallest integer greater than 1 that is both a perfect square and perfect cube?
its 81
Explain with workings What is the smallest positive integer q such that 25q is a perfect cube?
5
The square root of a perfect square and the cube root of a perfect cube is?
an integer
Why are perfect square and cube perfect?
Because they are square/cube of an integer.
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.
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 many dimensions does a cube root as a perfect cube have?
A cube root of a perfect cube has only one dimension. A perfect cube is a number that can be obtained by multiplying an integer by itself three times. Taking the cube root of a perfect cube will give you the original integer value, effectively reducing the dimensionality back to one.
To get perfect cube?
You multiply an integer by itself twice or multiply 1 by an integer three times.
What is the smallest perfect cube and perfect square to the eleventh power?
0. 0 is a perfect square as well as a perfect cube. And 011 = 0. The next number will be 1.
