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(2+√3) (2-√3) (5+√2) (5-√2)
using the identity a^2- b^2 = (a+b) (a-b)
(4-3) (25-2)
= 1*23 = 23
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(2+√3)(2-√3)(5+√2)(5-√2)
formula (a+b)(a-b) = a²-b²
(2+√3)(2-√3) = 2²-√3² = 4-3 = 1
(5+√2)(5-√2) = 5²-√2² = 25-2 = 23
1*23 = 23
23 is a rational number
hence showed
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