Question

combine these radicals.

(-12\sqrt{12} - 2\sqrt{3})

• (-50\sqrt{3})
• (-22\sqrt{3})
• (-26\sqrt{3})
• (-10\sqrt{12})

Explanation:

Simplify the first radical term

$$ -12\sqrt{12} = -12\sqrt{4 \cdot 3} = -12 \cdot 2\sqrt{3} = -24\sqrt{3} $$

Combine the like radical terms

$$ -24\sqrt{3} - 2\sqrt{3} = (-24 - 2)\sqrt{3} = -26\sqrt{3} $$

Answer:

• (A) \(-50\sqrt{3}\)
• (B) \(-22\sqrt{3}\)
• (C) \(-26\sqrt{3}\) (Correct answer)
• (D) \(-10\sqrt{12}\)