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Simplify: $$\sqrt{50} + \sqrt{18}$$ . Express your answer in simplest radical form.

Jul 6, 2021

#1
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$$5\sqrt{2} + 3\sqrt{2}$$

They both have a radical of 2, so we can combine them to get $$8\sqrt{2}$$

Jul 6, 2021
#2
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Well we can simplify both of them starting with √50.

$$\sqrt{50}$$

$$=\sqrt{2\cdot \:5^2}$$

$$=\sqrt{2}\sqrt{5^2}$$

$$=5\sqrt{2}$$

$$\sqrt{18}$$

$$=\sqrt{2\cdot \:3^2}$$

$$=\sqrt{2}\sqrt{3^2}$$

$$=3\sqrt{2}$$

So adding $$3\sqrt{2}+5\sqrt{2},$$ you get $$8\sqrt{2}$$

Jul 6, 2021