To simplify the expression \( \sqrt{10} \times \sqrt{12.1} \), you can use the property of square roots that states \( \sqrt{a} \times \sqrt{b} = \sqrt{a \times b} \).
So, we have:
\[ \sqrt{10} \times \sqrt{12.1} = \sqrt{10 \times 12.1} \]
Now, calculate the product:
\[ 10 \times 12.1 = 121 \]
Thus, the expression simplifies to:
\[ \sqrt{10} \times \sqrt{12.1} = \sqrt{121} = 11 \]
Therefore, \( \sqrt{10} \times \sqrt{12.1} = 11 \).