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Verified answer
A. 4√3 - 8√3 + 12√3-4√3 + 12√3
8√3
b. (3√2 + √6) (5√2 - 2√6)
15×2 - 6√12 + 5√12 - 2×6
30 -√12 - 12
18 - √12
18 - 2√3
Verified answer
A][4√3 - √192 + 6√12
= 4√3 - (√64 . √3) + 6(√4 . √3)
= 4√3 - 8√3 + 12√3
= (4 - 8 + 12)√3
= 8√3
b][
(3√2 + √6)(5√2 - 2√6)
= (3√2)(5√2 - 2√6) + (√6)(5√2 - 2√6)
= (30 - 6√12) + (5√12 - 12)
= 18 - √12
= 18 - √4 . √3
= 18 - 2√3