Question

find the sum $6y\sqrt{a} + 7y\sqrt{a}$. $13y^2\sqrt{a}$ $13ay$ $13y\sqrt{a}$ $13y\sqrt{2a}$

Explanation:

Step1: Identify like terms

The terms \(6y\sqrt{a}\) and \(7y\sqrt{a}\) are like terms because they have the same radical part \(\sqrt{a}\) and the same variable part \(y\).

Step2: Combine like terms

To combine like terms, we add the coefficients (the numbers in front of the like terms) and keep the radical and variable part the same. The coefficients are 6 and 7. So, \(6 + 7 = 13\). Then we attach the radical and variable part back, giving \(13y\sqrt{a}\).

Answer:

\(13y\sqrt{a}\) (the option corresponding to this expression, e.g., if it's the third option as per the layout, state the identifier and text as per the original problem's option labels)