The number (3-√2)(3+√2) is rational or irrational number
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(√2 -√3)(√2 -√3)
= Using (a - b)(a + b) = a2 - b2, we have
(√2 - √3)(√2 + √3) = (√2)2 - (√3)2 = 2 - 3 = -1
Since -1 can be expressed in the p/q form as -1/1, (√2 - √3)(√2 + √3) is rational .
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