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Earn +20 ptsQ: Perfect cube factors of 180
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What is the largest factor of 135 that is a perfect cube?
Perfect cubes smaller than 135 are 1, 8, 27, 64, and 125. Of these, 1 and 27 are factors of 135, so 27 is the largest factor of 135 that is a perfect cube.
Why is 81 both a perfect square and a perfect cube?
81 is a perfect squarebecause 81 = 9*9. It is NOT a perfect cube.
Is 27 a perfect square?
No, it's a perfect cube.
How do you simplify the radical of 180?
Look at the factors of 180. 180 = 18 * 100 So √180 = √18 * √100 Now look at the factors of each of those and look for perfect squares. => √(9 * 2) * √10 => √9 * √23 * 10 => 3 * √2 * √10 => 3 * √20 => properly written it would just be 3√20
What is the smallest number that is both a perfect square and a perfect cube?
1 (1x1x1 or 1x1)
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