Multiply, and then simplify if possible. \( \sqrt{7}(\sqrt{11}+\sqrt{10}) \) \( \sqrt{7}(\sqrt{11}+\sqrt{10})=\square \) (Simplify your answer. Type an exact answer, using radicals as needed.)
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To multiply \( \sqrt{7}(\sqrt{11}+\sqrt{10}) \), distribute \( \sqrt{7} \) to both terms inside the parentheses: \[ \sqrt{7} \cdot \sqrt{11} + \sqrt{7} \cdot \sqrt{10} \] Now, using the property that \( \sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b} \), we can simplify this to: \[ \sqrt{7 \cdot 11} + \sqrt{7 \cdot 10} \] This gives us: \[ \sqrt{77} + \sqrt{70} \] Since \( \sqrt{77} \) and \( \sqrt{70} \) cannot be simplified further, the final simplified form is: \[ \sqrt{77} + \sqrt{70} \]