Question

$3 \sqrt[3]{250 + } 7 \sqrt[3]{16} - 4 \sqrt[3]{54} \: what \: is \: the \: answer$
whatistheanswer​

Answer 1

Answer:

$3 \sqrt[3]{250} + 7 \sqrt[3]{16} - 4 \sqrt[3]{54} \\ = 3 \sqrt[3]{125 \times 2} + 7 \sqrt[3]{8 \times 2} - 4 \sqrt[3]{27 \times 2}\\ = 3 \sqrt[3]{ {5}^{3} \times 2} + 7 \sqrt[3]{ {2}^{3} \times 2} - 4 \sqrt[3]{ {3}^{3} \times 2} \\ = 3 \times 5 \sqrt[3]{ 2} + 7 \times 2 \sqrt[3]{ 2} - 4 \times 3\sqrt[3]{ 2} \\ \: = 15 \sqrt[3]{ 2} + 14 \sqrt[3]{ 2} - 12\sqrt[3]{ 2} \\ = 29 \sqrt[3]{ 2} - 12\sqrt[3]{ 2} \\ = 29 \sqrt[3]{ 2} - 12\sqrt[3]{ 2} \\ = 17\sqrt[3]{ 2}$