Racionalize o denominador das expressoes:a) 2 b) 2 3+√7 √6-√2.... Pergunta de ideia defabi965

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Racionalize o denominador das expressoes:

a) 2 b) 2
3+√7 √6-√2

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emicosonia Racionalize o denominador das expressoes:

a)   2     b)   2
3+√7 √6-√2

2
a) -----------
3 + √7

2 2(3 - √7)   6 - 2√7 6 - 2√7 6 -2√7 6 - 2√7
-------------- = -------------- =   ----------------------------- = -------------------= ----------- = -----------
3 + √7 (3+√7)(3-√7) 3.3 -3√7 +3√7-√7√7     9 - √7² 9 - 7 2

6 - 2√7 : 2
--------------- = 3 - √7
2 : 2

b)   2
√6-√2

2 2(√6 + √2)    2√6 + 2√2    2√6 + 2√2
---------- = ------------------------- = ----------------------------------------= -----------------------------
√6 - √2 (√6-√2)(√6+√2)   √6√6 + √6√2 -√2√6 - √2√2 √6² + √12 -√12 -√2²

2√6 + 2√2 2√6 + 2√2 2√6 + 2√2 : 2   √6 + √2
---------------- = ----------------- = ----------------------- = ------------
6 + 0 - 2 4 4 : 2 2

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