Final answer:
The sum of 6V5 and 3V5, with V5 representing the square root of 5, is 9V5, as you add the coefficients to get 9 and keep the common term V5.
Step-by-step explanation:
The expression 6V5 + 3V5 represents the sum of two algebraic terms that share a common term, V5, which stands for the square root of 5. Just like you can add similar terms such as 6 apples + 3 apples = 9 apples, you can add these terms together by simply adding the coefficients (the numbers in front of the roots). Therefore, 6V5 + 3V5 equals 9V5, since 6 + 3 = 9, and you keep the common term V5.