Question

$sqrt[5]{48 times 81}$

Answer 1

$sqrt[5]{48 times 81} = sqrt[5]{16 times 3 times 9 times 9} = sqrt[5]{ frac{32}{2} times {3}^{5} } = \ = sqrt[5]{ frac{ {2}^{5} times {3}^{5} }{2} } = frac{ sqrt[5]{ {(2 times 3)}^{5} } }{ sqrt[5]{2} } = frac{6}{ sqrt[5]{2} } = \ = frac{6 sqrt[5]{16} }{ sqrt[5]{2} times sqrt[5]{16} } = frac{6 sqrt[5]{16} }{ sqrt[5]{32} } = frac{6 sqrt[5]{16} }{2} = 3 sqrt[5]{16}$