Simplify the expression (sqrt{50} + sqrt{18})

Question

Accepted Answer

Step:1 ：First, we simplify each radical separately. We simplify (sqrt{50}) by finding the prime factorization of 50, which is (2 times 5^2). Thus, (sqrt{50}) simplifies to (5sqrt{2}).Step:2 ：Likewise, we simplify (sqrt{18}) by finding the prime factorization of 18, which is (2 times 3^2). Thus, (sqrt{18}) simplifies to (3sqrt{2}).Step:3 ：We then add the two simplified radicals together, so (5sqrt{2}) + (3sqrt{2}) = (8sqrt{2}).

Answer

Step: 1 ：First, we simplify each radical separately. We simplify (sqrt{50}) by finding the prime factorization of 50, which is (2 times 5^2). Thus, (sqrt{50}) simplifies to (5sqrt{2}).Step: 2 ：Likewise, we simplify (sqrt{18}) by finding the prime factorization of 18, which is (2 times 3^2). Thus, (sqrt{18}) simplifies to (3sqrt{2}).Step: 3 ：We then add the two simplified radicals together, so (5sqrt{2}) + (3sqrt{2}) = (8sqrt{2}).

Simplify the expression \(\sqrt{50} + \sqrt{18}\)

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