Pregunta
Evaluate the numerical expression. \( 25^{1 / 2} \)
Ask by Pierce Cummings. in the United States
Mar 21,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\( 25^{\frac{1}{2}} = 5 \)
Solución
1. Recognize that the exponent \( \frac{1}{2} \) represents the square root:
\[
25^{\frac{1}{2}} = \sqrt{25}
\]
2. Evaluate the square root:
\[
\sqrt{25} = 5
\]
Thus, the numerical value of \( 25^{\frac{1}{2}} \) is \( 5 \).
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Simplifique esta solución The Deep Dive
The expression \( 25^{1 / 2} \) represents the square root of 25. When you take the square root of 25, you find that it equals 5, since \( 5 \times 5 = 25 \). Therefore, the result of the numerical expression is 5. Now, for a fun twist, did you know square roots are often used in architecture and design? They're fundamental when calculating areas and creating pleasing proportions in structures. Also, in nature, many patterns, like the arrangement of leaves or flowers, often involve square roots—it's a mathematical harmony that can be found all around us!
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