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Question
Simplify (√3+√11)²+(√3-√11)²
Simplify (√3+√11)²+(√3-√11)²
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Solution
(√3+√11)^2+(√3-√11)^2
(√3+√11)^2=(√3)^2+2×√3×√11+(√11)^2
(√3-√11)^2= (√3)^2-2×√3×√11+(√11)^2
That is -(2×√3×√11) and +(2×√3×√11) cancell then
((√3)^2+(√11)^2) +((√3)^2+(√11)^2)
(3+11)+(3+11)=14+14=28
(√3+√11)^2=(√3)^2+2×√3×√11+(√11)^2
(√3-√11)^2= (√3)^2-2×√3×√11+(√11)^2
That is -(2×√3×√11) and +(2×√3×√11) cancell then
((√3)^2+(√11)^2) +((√3)^2+(√11)^2)
(3+11)+(3+11)=14+14=28
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