Question

simplify the following expression by combining like radicals.

\\14\sqrt{7} - \sqrt{175}\\

\\?\sqrt{\quad}\\

Explanation:

Simplify the second radical term

$$ \sqrt{175} = \sqrt{25 \times 7} = \sqrt{25} \times \sqrt{7} = 5\sqrt{7} $$

Combine the like radical terms

$$ 14\sqrt{7} - 5\sqrt{7} = (14 - 5)\sqrt{7} = 9\sqrt{7} $$

Answer:

Simplify the following expression by combining like radicals.

\(14\sqrt{7} - \sqrt{175}\)

<blank>\(9\sqrt{7}\)</blank>