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Question Number 190512 by 073 last updated on 04/Apr/23

Answered by som(math1967) last updated on 04/Apr/23

$${}^3\sqrt{\sqrt{15}+\frac{196}{54}}$$$$={}^3\sqrt{\sqrt{15}+\frac{98}{27}}$$$${=}^3\sqrt{\frac{27\sqrt{15}+98}{27}}$$$$={}^3\sqrt{\frac{8+3.2.15+3.4.\sqrt{15}+15\sqrt{15}}{3^3}}$$$$={}^3\sqrt{\frac{{(2+\sqrt{15})}^3}{3^3}}$$$$=\frac{a}{3}$$

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