Answer: 5 radical 2
Explanation:
To simplify the expression "radical 18 plus 2 radical 2," we can first break down the radicals into their simplified forms.
Let's start with the square root of 18. We can break down 18 into its factors: 9 and 2. Since 9 is a perfect square (3 x 3 = 9), we can simplify the square root of 9 as just 3. So, the square root of 18 can be simplified as the square root of 9 times the square root of 2, which is equal to 3 radical 2.
Next, let's simplify the square root of 2. Since 2 is not a perfect square, we cannot simplify it any further.
Now, we can substitute the simplified forms back into the original expression:
3 radical 2 + 2 radical 2
Since both terms have the same radical (radical 2), we can combine them by adding their coefficients:
(3 + 2) radical 2
This simplifies to:
5 radical 2
Therefore, the simplified form of "radical 18 plus 2 radical 2" is 5 radical 2.