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What is the value of √50 + √18 in simplest form?

  1. 8√2

  2. 5√10 + 3

  3. 5√2 + √18

  4. 34√2

The correct answer is: 8√2

To simplify the expression √50 + √18, we need to break down each square root into its simplest form. Starting with √50, we can factor it as follows: √50 = √(25 * 2) = √25 * √2 = 5√2. Next, we simplify √18: √18 = √(9 * 2) = √9 * √2 = 3√2. Now, we can combine the simplified square roots: √50 + √18 = 5√2 + 3√2 = (5 + 3)√2 = 8√2. Thus, the value of √50 + √18 in simplest form is 8√2. This shows how combining like terms (the coefficients of √2) leads to the final result, confirming that option A is indeed the correct choice.