Question

select the correct answer.

which expression is equivalent to \\(21\sqrt3{15} - 9\sqrt3{15}\\)?

\\(\bigcirc\\) 12

\\(\bigcirc\\) 30\sqrt3{15}

\\(\bigcirc\\) 12\sqrt3{5}

\\(\bigcirc\\) 12\sqrt3{15}

Explanation:

Identify like terms

$$ 21\sqrt[3]{15} - 9\sqrt[3]{15} $$

Combine coefficients

$$ (21 - 9)\sqrt[3]{15} = 12\sqrt[3]{15} $$

Answer:

• 12
• 30\(\sqrt[3]{15}\)
• 12\(\sqrt[3]{5}\)
• 12\(\sqrt[3]{15}\) (Correct answer)