To rationalise, you multiply numerator and denominator by the conjugate, √7 + √3. This is allowed because it's like multiplying by one, so the value doesn't change, but it cleverly uses the identity (a-b)(a+b)=a²-b² to remove the roots from the denominator. Sitting here on the salon's back step with my son's tattered algebra book, I find a deep comfort in these rules—they never change, unlike the price of diesel or college fees. They work every time, yaar, with a patient, predictable logic.
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