Final answer:
To simplify the expression, combine like terms by adding their coefficients and keeping the radical and variable the same. The term 3√/2y cannot be combined with the other terms.
Step-by-step explanation:
To simplify the expression 10√2y +5√2y+3√/2y, we can combine like terms. The terms 10√2y and 5√2y are like terms because they have the same radical, the same coefficient (10 and 5), and the same variable (y). When we combine these terms, we add the coefficients and keep the radical and variable the same. So, 10√2y +5√2y simplifies to (10+5)√2y = 15√2y. The term 3√/2y cannot be combined with the other terms because it doesn't have the same radical. Therefore, the simplified expression is 15√2y + 3√/2y.
Learn more about Combining like terms in an algebraic expression