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kap26 [50]
3 years ago
11

The sides of a square are five to the power of two fifths inches long. How is that written in radical form?

Mathematics
1 answer:
Evgen [1.6K]3 years ago
5 0
Remember
x^ \frac{m}{n}= \sqrt[n]{x^m}
so
5^ \frac{2}{5}= \sqrt[5]{5^2}= \sqrt[5]{25}

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A rectangular box is to have a square base and a volume of 40 ft3. If the material for the base costs $0.36/ft2, the material fo
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The total cost of a pair of opposite sides is $0.05 +0.05 = $0.10 per square foot.

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Since the base is square, that means the box is the shape of 5 cubes stacked one on the other. Each of those would be 8 ft³, so would have edge dimensions of ∛8 = 2 feet. The height is 5 times that, or 10 ft.

The box is 2 feet square by 10 feet high:

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  • width: 2 ft
  • height: 10 ft

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If you feel the need to write an equation, you can let x represent the edge length of the base. Then the cost of the top and bottom will be ...

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This is minimized when the derivative of the sum of these costs is zero:

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  x = ∛8 = 2 . . . . . . as above

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