Simplify. Assume that all variables under radicals represent nonnegative numbers.

(a) $\sqrt{2} \left(\sqrt{14} + \sqrt{22} \right) =$

(b) $\sqrt{7 y} \left(\sqrt{7} - \sqrt{y} \right) =$

(c) $\sqrt{3} \left(c \sqrt{15} + \sqrt{3}\right) =$

Write your answer using radical notation if necessary.

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