Question

simplify 2$\sqrt[3]{40\\}$+3$\sqrt[3]{625}$-4 $\sqrt[3]{320}$

Answer 1

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$3\sqrt[3]{5}$

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Simplify: $2 \sqrt[3]{40} + 3 \sqrt[3]{625} - 4 \sqrt[3]{320}$

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$\large{☞}$$2 \times ( \sqrt[3]{2 \times 2 \times 2 \times 5} ) +$

$3 \times ( \sqrt[3]{5 \times 5 \times 5 \times 5} )-$

$4 \times ( \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 5} )$

Taking out triplets as common,

$\large{☞}$$4 \sqrt[3]{5} + 15 \sqrt[3]{5} - 16 \sqrt[3]{5}$

$\large{☞}$$19 \sqrt[3]{5} - 16 \sqrt[3]{5}$

$\large{☞}$$3 \sqrt[3]{5}$

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