Problem

Simplify the expression: \( 3 \sqrt{50} + 2 \sqrt{8} \)

Answer

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Answer

Step 3: Add the simplified terms: \( 15 \sqrt{2} + 4 \sqrt{2} = 19 \sqrt{2} \)

Steps

Step 1 ：Step 1: Break down the square roots into its simplest form: \( 3 \sqrt{50} = 3 \sqrt{2 \times 25} = 15 \sqrt{2} \)

Step 2 ：Step 2: Similarly, simplify \( 2 \sqrt{8} = 2 \sqrt{2 \times 4} = 4 \sqrt{2} \)

Step 3 ：Step 3: Add the simplified terms: \( 15 \sqrt{2} + 4 \sqrt{2} = 19 \sqrt{2} \)

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