Question
parentheses:
(6−3–√)(3+3–√)
= 6(3) + 6(3) - 6√3 - 3(3) - 3(3) + 3√3 – √(3)(3) – √(3)(3)
= 18 + 18 - 6√3 - 9 - 9 + 3√3 – 3√3 – 3√3
= (18 + 18 - 9 - 9) + (-6√3 + 3√3 - 3√3 - 3√3)
= 36 - 18√3 - 12√3
= 36 - 30√3
Therefore, (6−3–√)(3+3–√) simplifies to 36 - 30√3.
(6−3–√)(3+3–√)
= 6(3) + 6(3) - 6√3 - 3(3) - 3(3) + 3√3 – √(3)(3) – √(3)(3)
= 18 + 18 - 6√3 - 9 - 9 + 3√3 – 3√3 – 3√3
= (18 + 18 - 9 - 9) + (-6√3 + 3√3 - 3√3 - 3√3)
= 36 - 18√3 - 12√3
= 36 - 30√3
Therefore, (6−3–√)(3+3–√) simplifies to 36 - 30√3.
Answers
Answered by
GPT 3.5
Note: The original equation is not clear because it is missing an operator between the terms (√) and (3). Assuming that is a multiplication instead of an addition, the simplification provided is correct.
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