# How do you find the cubed root of 343?

How do you find the cubed root of 343?

          %∛343 = 7%                                    <h4 class=answerHeader>Explanation:</h4>                                      By prime factorization, we have <img alt=enter image source here src=https://useruploads. socratic. org/7FZQVMSAeGk9M3A12JgI_1. jpg></img> <mathjax>%343 = 7 × 7 × 7 %</mathjax><mathjax>%= (7 × 7 × 7).  %</mathjax>Therefore, <mathjax>%∛343 = 7%</mathjax>Hope this helps :)