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Simplify-2-3-3-2-2-12-6-2-2-3-2-1-3-2-

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Question Number 197185 by MathematicalUser2357 last updated on 10/Sep/23
Simplify (((((√2))^(√3) ∙((√3))^(√2) +((√2))^(√(12)) )/(((√6))^(√2) +((√2))^((√3)+(√2)) )))^(1/((√3)−(√2)))
Simplify(2)3⋅(3)2+(2)12(6)2+(2)3+23−2
Answered by som(math1967) last updated on 10/Sep/23
=^((√3)−(√2)) (√((((√2))^(√3) .((√3))^(√2) +((√2))^(2(√3)) )/(((√3))^(√2) ((√2))^(√2) +((√2))^((√3)+(√2)) ))) =^((√3)−(√2)) (√((((√2))^(√3) {((√3))^(√2) +((√2))^(√3) })/(((√2))^(√2) {((√3))^(√2) +((√2))^(√3) }))) =^((√3)−(√2)) (√(((√2))^((√3)−(√2)) ))=(√2)
=3−2(2)3.(3)2+(2)23(3)2(2)2+(2)3+2=3−2(2)3{(3)2+(2)3}(2)2{(3)2+(2)3}=3−2(2)3−2=2

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