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Q: What natural numbers less than 100 are both perfect squares and perfect cubes?

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there are no perfect numbers instead there are perfect cubes, perfect squares, natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. If you want natural no. they are 21, 22, 23, 24, 25, 26, 27, 28, and 29.

Yes. In fact, they are integers.

Answer: 1, 64, & 729

Cubes of squares or squares of cubes, like 1, 64 and 729.

no

The cube root of 5000 is approx 17.1 So the numbers 1 to 17 have cubes which are smaller than 5000 that is, there are 17 such numbers.

the three numbers that are less than 1000 and are perfect squares and perfect cubes are:1, 64, 7291 = 1 x 1 = 1 x 1 x 164 = 8 x 8 = 4 x 4 x 4729 = 27 x 27 = 9 x 9 x 9

Perfect cubes.

Usually they don't, unless you work in engineering.

The sum of their squares is 10.

There are 12 squares on 2 cubes

If you include fractions and decimals, then there are an infinite number of squares and cubes in any range. If you consider only whole numbers, then from 1 to 20: Squares: 1, 4, 9, and 16. Cubes: 1 and 8.

Squares are 2D figures and cubes are 3D figures Also squares are the faces of a cube

Not necessarily. The cube of sqrt(2) is not rational.

Simply calculate the cubes of a few small numbers, and check which of them are in the desired range.

1331 and 2197

There are 90 two-digit numbers from 10 to 99. Of those, 6 are perfect squares (16, 25, 36, 49, 64, and 81) and 2 are perfect cubes (27 and 64). Each perfect square or root has a probability of 1 in 90 in being drawn.

Cubes of all numbers are irrational numbers, if they're not natural

1, 8, 27, 64, and 125

I believe there are 2 positive three-digit perfect cube numbers, that are even.

The oldest person who ever lived and whose age had been verified lived to the age of 122. The only whole numbers between 0 and 122 that are both perfect squares and perfect cubes are 1 and 64.

8 and 27 are the only two perfect cubes in the range.

I suppose you could have 13, 23,33,43 and 53 or plenty others as alternatives.

With perfect squares the number is usually easier to guess and check than calculate, as calculating is a much longer and more complicated process known to few. Guessing and checking may also involve breaking the perfect square down into smaller squares, such as sqrt(5184)-->sqrt(9*576)-->3*24=72, which is also done in large part by conjectures. Squares to about 25 are useful and easy to memorize, as are the cubes of up to about 10.

This is a little odd, but: All squares are rectangles, but rectangles are never squares.