Pregunta
Subtract. Write your answer in simplest form. \[ 10 \sqrt{18}-7 \sqrt{2} \]
Ask by Marsh Guzman. in the United States
Jan 24,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
The simplified form of \( 10 \sqrt{18} - 7 \sqrt{2} \) is \( 23\sqrt{2} \).
Solución
To simplify the expression \( 10 \sqrt{18} - 7 \sqrt{2} \), follow these steps:
1. **Simplify \(\sqrt{18}\):**
\[
\sqrt{18} = \sqrt{9 \times 2} = \sqrt{9} \times \sqrt{2} = 3\sqrt{2}
\]
2. **Substitute back into the original expression:**
\[
10 \sqrt{18} - 7 \sqrt{2} = 10 \times 3\sqrt{2} - 7\sqrt{2} = 30\sqrt{2} - 7\sqrt{2}
\]
3. **Combine like terms:**
\[
30\sqrt{2} - 7\sqrt{2} = (30 - 7)\sqrt{2} = 23\sqrt{2}
\]
**Final Answer:**
\[
23\sqrt{2}
\]
Revisado y aprobado por el equipo de tutoría de UpStudy
Como
error msg
Explicar 
Simplifique esta solución Beyond the Answer
To simplify \(10 \sqrt{18} - 7 \sqrt{2}\), we first simplify \(\sqrt{18}\). We know that \(\sqrt{18} = \sqrt{9 \times 2} = 3\sqrt{2}\). Now we can rewrite the original expression: \[ 10 \sqrt{18} = 10 \times 3 \sqrt{2} = 30\sqrt{2} \] Thus, the expression becomes: \[ 30\sqrt{2} - 7\sqrt{2} \] Now, we can combine the like terms: \[ (30 - 7) \sqrt{2} = 23\sqrt{2} \] So, the answer in its simplest form is: \[ \boxed{23\sqrt{2}} \]
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
