Final answer:
To simplify the given expression, find the square roots of the numbers and combine like terms to simplify the expression to 10√2.
Step-by-step explanation:
To simplify the expression √50+√72-√2, we can start by finding the square roots of the numbers. √50 is equal to √(25*2), which can be simplified as 5√2. √72 is equal to √(36*2), which can be simplified as 6√2. And √2 cannot be further simplified.
So the expression becomes 5√2 + 6√2 - √2. When we combine like terms, we get (5+6-1)√2, which simplifies to 10√2.
Therefore, the simplification of the expression is 10√2 (option C).
Learn more about Simplifying square roots