what is conjugate in surds
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The sum and difference of two quadratic surds is called as conjugate to each other. ... For example √x = a and √y = b, a and b are two quadratic surds, if (a + b) or (√x+√y) is multiplied with (a - b) or (√x−√y), the result will (√x)2 - (√y)2 or (x - y) which is rational number.
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