I have a problem that I can't seem to figure out. Could you show me how it's done? Thank You :)
5sqrt(3x) + 3sqrt(3x)
What is 5a + 3a? Answer: 8a
Of course! I'd be happy to show you how to solve the problem.
To simplify the expression 5√(3x) + 3√(3x), we apply the basic rule of adding like terms. In this case, the like terms are the two terms with the same radical expression, which is √(3x).
Step 1: Identify the like terms. In this case, the like terms are 5√(3x) and 3√(3x).
Step 2: Add the coefficients of the like terms. The coefficients are the numbers in front of the radical expression. So, 5√(3x) + 3√(3x) simplifies to (5 + 3)√(3x).
Step 3: Simplify the coefficient. 5 + 3 equals 8, so the expression becomes 8√(3x).
Therefore, the simplified expression is 8√(3x).