Question

Find a polynomial equation of the lowest degree with rational coefficients whose
one root is $\sqrt[3]{2} +3 \sqrt[3]{4}$ .

Answer 1

$\bold\ answer \bigstar$

$if \: y = \sqrt[3]{2} + 3\sqrt[3]{4}$

${y}^{3} = 110 + 18( \sqrt[3]{2} + 3 \sqrt[3]{4}$

$the \: polynomial \: equation \: \\ of \: the \: lowest \: degree \: \\ is \: {y}^{3} - 18y - 110 = 0$

Answer 2

$\huge\tt{Answer:-}$

 answer★

$if \: y = \sqrt[3]{2} + 3\sqrt[3]{4}ify=32+334$

${y}^{3} = 110 + 18( \sqrt[3]{2} + 3 \sqrt[3]{4}y3=110+18(32+334$

$\begin{lgathered}the \: polynomial \: equation \: \\ of \: the \: lowest \: degree \: \\ is \: {y}^{3} - 18y - 110 = 0\end{lgathered}thepolynomialequationofthelowestdegreeisy3−18y−110=0$