Question 3 of 10 , Step 1 of 1
$2 / 10$
Correct
Simplify the expression by combining the radical terms using the indicated operation(s). Assume all variables are positive.
\[
6 \sqrt{y}-4 \sqrt{y}-6 \sqrt[3]{7}
\]

Step 1 ：The problem is asking to simplify the expression by combining the radical terms. The expression contains two terms with the square root of y and one term with the cube root of 7. The terms with the same radical can be combined. The term with the cube root of 7 cannot be combined with the other terms because it has a different radical.

Step 2 ：To simplify the expression, we can subtract the coefficients of the terms with the same radical. The coefficient of the first term is 6 and the coefficient of the second term is -4. Subtracting -4 from 6 gives 2. The simplified expression is then 2 times the square root of y minus 6 times the cube root of 7.

Step 3 ：The simplified expression is \(2 \sqrt{y}-6 \sqrt[3]{7}\)

Step 4 ：\(\boxed{2 \sqrt{y}-6 \sqrt[3]{7}}\)