the product of two conjugate surds is a rational number
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The product of two binomial quadratic surds is always rational. For example, (√m + √n)(√m - √n) = (√m)^2 - (√n)^2 = m - n, which is rational.
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The product of two binomial quadratic surds is always rational. For example, (√m + √n)(√m - √n) = (√m)^2 - (√n)^2 = m - n, which is rational.
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