Question

what is the following difference?

(11sqrt{45} - 4sqrt{5})

(95sqrt{5})
(14sqrt{10})
(29sqrt{5})
(7sqrt{40})

Explanation:

Simplify the first radical term

$$ 11\sqrt{45} = 11\sqrt{9 \times 5} = 11 \times 3\sqrt{5} = 33\sqrt{5} $$

Subtract the second radical term

$$ 33\sqrt{5} - 4\sqrt{5} = (33 - 4)\sqrt{5} = 29\sqrt{5} $$

Answer:

• (A) \(95\sqrt{5}\)
• (B) \(14\sqrt{10}\)
• (C) \(29\sqrt{5}\) (Correct answer)
• (D) \(7\sqrt{40}\)