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Question

The fraction 2(√2 + √6)/3(√2+3) is equal to.

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Solution

2(√2 + √6)/3(√2+3)

(2√2 + 2√6)/(3√2+9)

(2√2 + 2√6)(9-3√2) / (9+3√2) (9-3√2)

2√2 (1+√3)(9-3√2)/ 81-18

2√2 (1+√3) 3(3-√2)/ 63

6√2 (1+√3)(3-√2)/ 63

2√2(1+√3)(3-√2) / 21


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