Example 19 - Rationalize the denominator of 5 / (3 - 5) - Examples

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Example 19 Rationalize the denominator of 5/(√3 − √5). 5/(√3 − √5) = 5/(√3 − √5) × (√3 + √5)/(√3 + √5) = (5 × (√3 + √5))/((√3)2 − (√5)2) = 5 ×(√5 + √3)/(3 − 5) = 5 ×(√5 + √3)/(−2) = – 5/2(√5+√3)

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