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\( \sqrt[3]{512} = 8 \)
Solución
To find the cube root of 512, denoted as \( \sqrt[3]{512} \), you're looking for a number that, when multiplied by itself three times (raised to the power of 3), equals 512.
Let's break it down:
\[
8 \times 8 \times 8 = 8^3 = 512
\]
Therefore,
\[
\sqrt[3]{512} = 8
\]
**Answer:** \( \sqrt[3]{512} = 8 \)
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Simplifique esta solución Bonus Knowledge
Did you know that \(512\) is actually \(2^9\)? So, when you take the cube root of \(512\) (or \(2^9\)), you can simplify it to \(2^{9/3} = 2^3 = 8\). Math can be super fun when you break it down like that! In real-world applications, cube roots are often used in various fields, including engineering and architecture, where you might need to find the dimensions of a cube given its volume. If the volume of a material is \(512\) cubic units, knowing the cube root helps you figure out that each side of the cube would measure \(8\) units, making the design process a whole lot easier!
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