1.
(√5+5√7)²=√5²+2×√5×5√7+(5√7)²=5+10√35+ 175=180+10√35
2.
(12+2√6)(12-2√6)=12×12-2√6×2√6=144-24=120
3.
√3(8-2√3)=√3×8+√3×(-2√3)=8√3-6
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Answers & Comments
1.
(√5+5√7)²=√5²+2×√5×5√7+(5√7)²=5+10√35+ 175=180+10√35
2.
(12+2√6)(12-2√6)=12×12-2√6×2√6=144-24=120
3.
√3(8-2√3)=√3×8+√3×(-2√3)=8√3-6