The perimeter of given formula is
![\sqrt[3]{5} \: \: \sqrt[5]{5} \: \: \sqrt[4]{5}](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B5%7D+%5C%3A++%5C%3A+++%5Csqrt%5B5%5D%7B5%7D++%5C%3A++%5C%3A+++%5Csqrt%5B4%5D%7B5%7D+ "\sqrt[3]{5} \: \: \sqrt[5]{5} \: \: \sqrt[4]{5}")
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answer is
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