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To simplify the expression (3\sqrt{75} + \sqrt{27}), we start by breaking down the radicals.

First, ( \sqrt{75} = \sqrt{25 \times 3} = 5\sqrt{3} ), so ( 3\sqrt{75} = 3 \times 5\sqrt{3} = 15\sqrt{3} ).

Next, ( \sqrt{27} = \sqrt{9 \times 3} = 3\sqrt{3} ).

Now we can combine the two terms: ( 15\sqrt{3} + 3\sqrt{3} = (15 + 3)\sqrt{3} = 18\sqrt{3} ).

Thus, ( 3\sqrt{75} + \sqrt{27} = 18\sqrt{3} ).

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AnswerBot

4d ago

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