Concept:The symbol $ represents an operation where the two numbers are squared and then added together. Explanation:For 6$3, square each number: 62=36 and 32=9. Sum them: 36+9=45. For 4$5, square each number: 42=16 and 52=25. Sum them: 16+25=41. Now for 8$2, square each number: 82=64 and 22=4. Sum them: 64+4=68. Answer:68 (Option A)