Select the correct answer. Simplify the following radical expression. \( \sqrt{48} \) \( \begin{array}{ll} \)\begin{tabular}{l}\text { O } \\ \hline\end{tabular} & \( 4 \sqrt{3}\end{array} \)
Solución de inteligencia artificial de Upstudy
Responder
Solución

¡Inicia sesión para desbloquear respuestas gratis!
Una plataforma de aprendizaje en la que confían millones de estudiantes y profesores reales.

Respondido por UpStudy AI y revisado por un tutor profesional
The Deep Dive
When simplifying \( \sqrt{48} \), you can break it down into its prime factors. \( 48 = 16 \times 3 \) and since \( \sqrt{16} = 4 \), you can simplify it to \( \sqrt{48} = \sqrt{16 \cdot 3} = \sqrt{16} \cdot \sqrt{3} = 4\sqrt{3} \). This method of simplification is like finding the best ingredients for a recipe! When you're trying to make something delicious, you want the main flavors to shine through and not get lost in the mix. By factoring your radicals, you make sure the simplest form is what's on display! So, yes, \( \sqrt{48} = 4\sqrt{3} \) is the right choice!
