Pregunta
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\( 31 \times 27 = 837 \)
Solución
Step 1: Evaluate the cube root of 27.
The cube root of 27 is the number that when raised to the power of 3 gives 27. Since 3³ = 27, we have:
√[3]{27} = 3.
Step 2: Raise the cube root to the third power.
(√[3]{27})³ = 3³ = 27.
Step 3: Multiply by 31.
31 × 27 = 837.
Thus, the simplified expression is 837.
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Simplifique esta solución Bonus Knowledge
To simplify \( 31(\sqrt[3]{27})^{3} \), we start with the expression inside the parentheses. The cube root of 27 is 3, since \( 3^3 = 27 \). Therefore, we have: \[ \sqrt[3]{27} = 3 \] Next, when we raise this result to the power of 3, we get: \[ (\sqrt[3]{27})^{3} = 3^{3} = 27 \] Now we can substitute this back into the original expression: \[ 31(\sqrt[3]{27})^{3} = 31 \times 27 \] Finally, we multiply: \[ 31 \times 27 = 837 \] Thus, the simplified expression is: \[ \boxed{837} \]
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