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6. Determina el valor de \( m \) en cada una de las siguientes operaciones: Xa. \( 5 m \sqrt{7}-27,6 \sqrt{7}=24,2 \sqrt{7} \)

Ask by Paul Stanley. in Colombia
Mar 08,2025

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El valor de \( m \) es \( 10{,}36 \).

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The Deep Dive

Para resolver la ecuación \( 5 m \sqrt{7} - 27,6 \sqrt{7} = 24,2 \sqrt{7} \), primero podemos sumar \( 27,6 \sqrt{7} \) a ambos lados de la ecuación. Así obtenemos: \[ 5 m \sqrt{7} = 24,2 \sqrt{7} + 27,6 \sqrt{7} \] Sumando las raíces, tenemos: \[ 5 m \sqrt{7} = (24,2 + 27,6) \sqrt{7} = 51,8 \sqrt{7} \] Ahora, dividimos ambos lados entre \( \sqrt{7} \) (asumiendo que \( \sqrt{7} \neq 0 \)): \[ 5 m = 51,8 \] Finalmente, dividimos ambos lados entre 5 para encontrar el valor de \( m \): \[ m = \frac{51,8}{5} = 10,36 \] Por lo tanto, el valor de \( m \) es \( 10,36 \).

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