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Mathematics for IGCSE & O level - Surds (Section 2 - No. 31)

Rationalize the denominator of 5 / (√7 - √2).
(√7 + √2) / 5
√7 + √2
(√7 - √2)/5
7-2

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(5/(√7 - √2)) * (√7 + √2)/(√7 + √2) = 5 (√7 + √2) / 5 = √7 + √2

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