Ball Higgins
06/14/2023 · Primary School
a) \( \left(\frac{\sqrt{5}}{8}\right)^{2}=\frac{25}{\square} \)
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Step-by-step Solution
Para resolver la ecuación \( \left(\frac{\sqrt{5}}{8}\right)^{2}=\frac{25}{\square} \), primero calculamos el lado izquierdo:
\[
\left(\frac{\sqrt{5}}{8}\right)^{2} = \frac{(\sqrt{5})^{2}}{8^{2}} = \frac{5}{64}
\]
Ahora, igualamos esto a la fracción del lado derecho:
\[
\frac{5}{64} = \frac{25}{\square}
\]
Para encontrar el valor de \( \square \), podemos cruzar multiplicar:
\[
5 \cdot \square = 25 \cdot 64
\]
Calculamos \( 25 \cdot 64 \):
\[
25 \cdot 64 = 1600
\]
Entonces, tenemos:
\[
5 \cdot \square = 1600
\]
Dividimos ambos lados entre 5:
\[
\square = \frac{1600}{5} = 320
\]
Por lo tanto, el valor de \( \square \) es \( 320 \).
La respuesta final es:
\[
\square = 320
\]
Quick Answer
El valor de \( \square \) es 320.
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