Answer:
[tex]\sqrt[3]{2883}\sqrt[3]{\sqrt[3]{2169}\sqrt[6]{3}}[/tex] or 35.52
Step-by-step explanation:
1. [tex]\sqrt[3]{2883\sqrt[3]{723\sqrt{27}}}[/tex]
2. [tex]\sqrt[3]{723\sqrt{27}}[/tex] = [tex]\sqrt[3]{2169}\sqrt[6]{3}[/tex]
3. [tex]\sqrt[3]{2883\sqrt[3]{2169}\sqrt[6]{3}}[/tex]
4. [tex]\sqrt[3]{2883\sqrt[3]{2169}\sqrt[6]{3}}[/tex] = [tex]\sqrt[3]{2883}\sqrt[3]{\sqrt[3]{2169}\sqrt[6]{3}}[/tex]
5. So, the answer is [tex]\sqrt[3]{2883}\sqrt[3]{\sqrt[3]{2169}\sqrt[6]{3}}[/tex]
Hope this helps! :)
