To simplify the expression \( 3\sqrt{21} + 7\sqrt{21} \), you can combine the terms since they have a common square root.
- Combine the coefficients: \[ 3\sqrt{21} + 7\sqrt{21} = (3 + 7)\sqrt{21} = 10\sqrt{21} \]
So, the simplified expression is:
\[ 10\sqrt{21} \]
Thus, the correct answer is \( 10\sqrt{21} \).