{"status": "success", "data": {"description_md": "What is the sum of the roots of $z^{12}=64$ that have a positive real part? \n\n$\\textbf{(A)}\\ 2 \\qquad \\textbf{(B)}\\ 4 \\qquad \\textbf{(C)}\\ \\sqrt{2}+2\\sqrt{3} \\qquad \\textbf{(D)}\\ 2\\sqrt{2}+\\sqrt{6} \\qquad \\textbf{(E)}\\ (1+\\sqrt{3}) + (1+\\sqrt{3})i$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>What is the sum of the roots of  <span class=\"katex--inline\">z^{12}=64</span>  that have a positive real part?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 2 \\qquad \\textbf{(B)}\\ 4 \\qquad \\textbf{(C)}\\ \\sqrt{2}+2\\sqrt{3} \\qquad \\textbf{(D)}\\ 2\\sqrt{2}+\\sqrt{6} \\qquad \\textbf{(E)}\\ (1+\\sqrt{3}) + (1+\\sqrt{3})i</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2017 AMC 12B Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/17_amc12B_p13", "prev": "/problem/17_amc12B_p11"}}