Pregunta
Simplify the following exprossion If the expression cannot be simplifect, se state) \[ \sqrt{63} \] Select the correct choice below and, if mecessary, ill in the answer box to complete your choin A. \( \sqrt{63}= \) \( \square \) (Type an oxact answer, using radicals as noeded) B. The expression cannot be simplified
Ask by Flynn Floyd. in the United States
Jan 27,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
\( \sqrt{63} = 3\sqrt{7} \)
Solución
**A.** \( \sqrt{63} = 3\sqrt{7} \)
**Explanation:**
To simplify \( \sqrt{63} \), factor 63 into its prime factors:
\[
63 = 9 \times 7
\]
Since 9 is a perfect square (\( 9 = 3^2 \)), you can simplify the square root as follows:
\[
\sqrt{63} = \sqrt{9 \times 7} = \sqrt{9} \times \sqrt{7} = 3\sqrt{7}
\]
Therefore, the simplified form of \( \sqrt{63} \) is \( 3\sqrt{7} \).
Revisado y aprobado por el equipo de tutoría de UpStudy
Como
error msg
Explicar
Simplifique esta solución
The Deep Dive
To simplify \(\sqrt{63}\), we can factor the number under the square root. Since \(63 = 9 \times 7\) and \(9\) is a perfect square, we can write it as \(\sqrt{9 \times 7} = \sqrt{9} \times \sqrt{7} = 3\sqrt{7}\). So, the expression simplifies to: A. \( \sqrt{63} = 3\sqrt{7} \)
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium