Final answer:
The expression the square root of 32 plus the square root of 2 simplifies to 5 times the square root of 2, which is irrational.
Step-by-step explanation:
The expression given is the square root of 32 plus the square root of 2. To evaluate this expression, let's simplify the square root of 32. We know that 32 can be rewritten as 16 times 2, and the square root of 16 is 4. Therefore, the square root of 32 is the same as 4 times the square root of 2. Now, our expression is simplified to 4 times the square root of 2 plus the square root of 2.
When you add these together, you get 5 times the square root of 2. Since the square root of 2 is an irrational number, any multiple of it will also be irrational. Therefore, the correct statement about the given expression is: It is irrational and equal to 5 times the square root of 2.