in the question 6radical x +3 radical y -2radical y +3 radical x -radical y is the answer 9 radical x +1 radical y. i just don't get it thanks

6√x + 3√y - 2√y + 3√x - √y

= 9√x

(6apples + 3 oranges - 2 oranges + 3 apples - 1 orange
= 9 apples)

To simplify the given expression: 6√x + 3√y - 2√y + 3√x - √y, we need to combine like terms.

Step 1: Group the terms with the same radical together.
Starting with 6√x + 3√y + 3√x, we can add the x and y terms together to get 9√x + 3√y.

Step 2: Combine the remaining terms.
Next, we have the -2√y - √y terms. These can be combined to give -3√y.

Therefore, the simplified expression is 9√x - 3√y, which means your initial answer of 9√x + √y is incorrect.

Please let me know if there's anything else I can assist you with!