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Hey there! Looking for some info on perfect square cubes? Well, you’ve come to the right place. Perfect square cubes are numbers that can be expressed as the product of two equal integers. For example, 8 is a perfect square cube because it can be written as 2 x 2 x 2. Pretty cool, huh? There are 108 perfect square cubes in total - from 1 to 108 - so let’s take a look at them!
Is 108 A Perfect Square Cube? [Solved]
Yeah, 108 ain’t a perfect cube. When you break it down to its prime factors, you get 2 × 2 × 3 × 3 × 3. But the two isn’t cubed, so the cube root of 108 is irrational. Bottom line: no dice!
Perfect Square: A perfect square is an integer that is the result of multiplying an integer by itself. For example, 4 x 4 = 16, so 16 is a perfect square.
Cube: A cube is a three-dimensional shape with six equal sides and angles. It has twelve edges and eight vertices.
108: 108 is the product of two perfect squares, 9 x 12 = 108, making it a perfect square cube number.
108 is a perfect square cube, meaning it can be expressed as the product of two equal integers multiplied together. For example, 108 = 6 x 6 x 6 = 36 x 3. So, if you’re looking for a number that’s both a perfect square and a perfect cube, 108 fits the bill!