Question

simplify the following expression by combining like radicals.

\\11\sqrt{5} - \sqrt{80}\\

\\?\sqrt{\quad}\\

Explanation:

Simplify the second radical

$$ \sqrt{80} = \sqrt{16 \times 5} = 4\sqrt{5} $$

Subtract the simplified terms

$$ 11\sqrt{5} - 4\sqrt{5} = (11 - 4)\sqrt{5} = 7\sqrt{5} $$

Answer:

Simplify the following expression by combining like radicals.

\(11\sqrt{5} - \sqrt{80}\)

<blank>\(7\sqrt{5}\)</blank>