What is the following product? open paren square root of 12 plus square root of 6 close paren times open paren square root of 6 minus square root of 10 close paren

Distribute each term: √12·√6 − √12·√10 + √6·√6 − √6·√10. Simplifying gives √72 − √120 + 6 − √60 = 6√2 − 2√30 + 6 − 2√15. This matches choice C, “6 square root of 2 minus 2 square root of 30 plus 6 minus 2 square root of 15.”

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