Pregunta
Subtract. Write your answer in simplest form. \( -10 \sqrt{22}-\sqrt{88} \)
Ask by Chang Dickson. in the United States
Jan 24,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
\(-12\sqrt{22}\)
Solución
To simplify the expression \( -10 \sqrt{22} - \sqrt{88} \), follow these steps:
1. **Simplify \(\sqrt{88}\):**
\[
\sqrt{88} = \sqrt{4 \times 22} = \sqrt{4} \times \sqrt{22} = 2\sqrt{22}
\]
2. **Substitute back into the original expression:**
\[
-10\sqrt{22} - \sqrt{88} = -10\sqrt{22} - 2\sqrt{22}
\]
3. **Combine like terms:**
\[
(-10 - 2)\sqrt{22} = -12\sqrt{22}
\]
**Final Answer:**
\(-12\,\sqrt{22}\)
Revisado y aprobado por el equipo de tutoría de UpStudy
Como
error msg
Explicar
Simplifique esta solución
Beyond the Answer
To simplify the expression \( -10 \sqrt{22}-\sqrt{88} \), first, we note that \( \sqrt{88} \) can be simplified. Since \( 88 = 4 \times 22 \), we find that: \[ \sqrt{88} = \sqrt{4 \times 22} = \sqrt{4} \times \sqrt{22} = 2\sqrt{22}. \] Now, we can substitute this back into the expression: \[ -10 \sqrt{22} - \sqrt{88} = -10 \sqrt{22} - 2\sqrt{22}. \] Combining the like terms gives us: \[ -10 \sqrt{22} - 2 \sqrt{22} = (-10 - 2) \sqrt{22} = -12 \sqrt{22}. \] Thus, the answer in simplest form is: \[ \boxed{-12 \sqrt{22}}. \]
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium