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4\\sqrt{13} - 6\\sqrt{13} + 10\\sqrt{13}\ \\bigcirc\\ \\ 8\\sqrt{13}\ \…

Question

4\sqrt{13} - 6\sqrt{13} + 10\sqrt{13}\
\bigcirc\\ \\ 8\sqrt{13}\
\bigcirc\\ \\ 12\sqrt{13}\
\bigcirc\\ \\ cannot be simplified

Explanation:

Step1: Factor out $\sqrt{13}$

$(4 - 6 + 10)\sqrt{13}$

Step2: Calculate the coefficient

$4 - 6 + 10 = 8$

Step3: Combine terms

$8\sqrt{13}$

Answer:

A. $8\sqrt{13}$