Add or subtract as indicated and simplify.
$2\sqrt{5}+6\sqrt{5}$

• A. $12\(\sqrt\)5$
• B. $4\(\sqrt\)5$
• C. $8\(\sqrt\)5$
• D. $8\(\sqrt{10}\)$

Answer: (C)

Verified step by step guidance

1. Identify the like terms in the expression. Both terms have the square root of 5, so they are like terms: \(2\sqrt{5}\) and \(6\sqrt{5}\).
2. Since the terms are like terms, add their coefficients (the numbers in front of the square root). This means you add 2 and 6.
3. Write the sum of the coefficients multiplied by the common radical part. This gives you \((2 + 6)\sqrt{5}\).
4. Simplify the expression inside the parentheses by performing the addition.
5. Write the final simplified expression as the product of the sum of coefficients and the square root of 5.