Question

simplify the following expression by combining like radicals.

\\2\sqrt{75} - 5\sqrt{3}\\

\\?\sqrt{\quad}\\

Explanation:

Simplify the first radical term

Using the Simplifying Radicals knowledge point

$$ 2\sqrt{75} = 2\sqrt{25 \times 3} = 2 \times 5\sqrt{3} = 10\sqrt{3} $$

Combine the like radical terms

Using the Combining Like Radicals knowledge point

$$ 10\sqrt{3} - 5\sqrt{3} = (10 - 5)\sqrt{3} = 5\sqrt{3} $$

Answer:

Simplify the following expression by combining like radicals.

\(2\sqrt{75} - 5\sqrt{3} =\) <blank>\(5\sqrt{3}\)</blank>