If-a-2-15-Express-15-196-54-1-3-in-terms-of-a-

Question Number 176839 by Ar Brandon last updated on 27/Sep/22

If a = 2 + \sqrt{15} Express

\sqrt[3]{\sqrt{15} + \frac{196}{54}} in terms of a

Answered by Rasheed.Sindhi last updated on 27/Sep/22

If a = 2 + \sqrt{15} Express

\sqrt[3]{\sqrt{15} + \frac{196}{54}} in terms of a

\sqrt[3]{\sqrt{15} + \frac{196}{54}} = \sqrt[3]{\sqrt{15} + 3 \frac{17}{27}}

= \sqrt[3]{\sqrt{15} + 2 + 1 \frac{17}{27}} = \sqrt[3]{a + 1 \frac{17}{27}}

Answered by Frix last updated on 27/Sep/22

\sqrt[3]{\frac{196}{54} + \sqrt{15}} = \frac{2 + \sqrt{15}}{3}

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