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Q: What is the smallest number that is both a perfect square and a perfect cube?

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It is the smallest composite number that is both a perfect square and a perfect cube.

0 is. The next one after 1 is 64.

its 81

4 because 2x2=4 and 4 x 4 x 4=64

How about 64 which is cube and square number because 4*4*4 = 64 and 8*8 = 64

It is both because 1,000,000 is a perfect cube and a perfect square number

There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.

A perfect square is the square of an integer, i.e., an integer multiplied by itself. For example, 25 is a perfect square, because 5 x 5 = 25. But, in literal mathematical terms, a perfect number is a positive integer that is the sum of its proper positive divisors, excluding the number itself. A square number is also called a "perfect square", so an example of a square number is above. So, a perfect square number would have to be a number that is both perfect and square, and there are yet to be any of these numbers "discovered".

36

36 is the smallest non-trivial number. It is both square and triangular.

To find a number that is both a perfect square and a perfect cube, we must solve x2 = x3 over x ∈Z+. The only two solutions to this equation are 0 and 1, or x = {0,1}. Therefore, zero and one are the only two numbers that are both perfect squares and perfect cubes. --In easier terms: a perfect square is a number that can be "square rooted" and have no remainder. Like, 144. The square root is 12 therefore 144 is a perfect square. A perfect Cube is the same except that it must be "cubed rooted". Like 27. The cube root of this number is 3 therefore 27 is a perfect cube.

324 is a perfect square of 18. But it's not a perfect cube.

The smallest 5 digit number is 10000 = 1002 The largest 5 digit number is 99999 and 3162 < 99999 < 3172 So, take any number between 100 and 316 (both inclusive) and square it to get a 5-digit perfect square.

It is: 100

It is both.13 is the square of +/- 3.6056, approx. However, since it is not the square of an integer, it is not a perfect square.It is also the square root of 169.

0, 1To be both a square and a cube, the number has to be a sixth power. You don't need to calculate though, since 06=0 and 16=1.The next 2 sixth powers are 26=64 and 36=729.

The square root of 5329 is 73, so 5329 is a perfect square, since it can be both squared and have its square root taken with both results being integers.

both

The smallest number is 3

64 (8*8) and (4*4*4)The next one is 81 (9*9) and (3*3*3) :)

Basically a perfect square is a number like 81 or 100. When these numbers are square rooted, they equal whole numbers like 9 or 10. An imperfect square is a number that when is square rooted equals and repeating decimal, like 29 when square rooted equals 5.385164807134504... (Note: Both even and odd number can be imperfect or perfect squares.)

The smallest number that can be divided by both 30 and 42 is 210.

The smallest number that is a multiple of both 72 and 117 is 936.

The smallest number that is divisible by both 34 and 35 is 1,190.

To be a perfect square, all the primes in a number's prime factorisation must have an even power To be a perfect cube, all the primes in a number's prime factorisation must a power that is a multiple of 3 → To be a perfect square, all the primes in a number's prime factorisation must a power that is a multiple of 3 and a multiple of 2, ie the power must be a multiple of 6 The smallest prime is 2 2⁶ = 64 = (2³)² = 8² = (2²)³ = 4³ 2¹² = 4096 (too large) 3⁶ = 729 (too large) There is also 1 = 1² = 1³ Thus the whole numbers less than 100 which are both perfect squares and perfect cubes are 1 and 64.

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