Ответ:
1) (33 / √17 - √6) * (√17 + √6) =
= 33(√17 + √6) / (√17 + √6)(√17 - √6) =
= 33(√17 + √6) / 17 - 6 =
= 33(√17 + √6) / 11 =
= 3(√17 + √6)
2) 18 / (3+√3) =
= 18(3-√3) / (3+√3)(3-√3) =
= 18(3-√3) / (9 - 3) =
= 18(3-√3) / 6 =
= 3(3-√3) = 9 - 3√3
3) 1 / ³√2-1 =
= ((³√2)^2 + ³√2 + 1) / (2 - 1) =
= (³√2)^2 + ³√2 + 1
^2 это квадрат
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Ответ:
1) (33 / √17 - √6) * (√17 + √6) =
= 33(√17 + √6) / (√17 + √6)(√17 - √6) =
= 33(√17 + √6) / 17 - 6 =
= 33(√17 + √6) / 11 =
= 3(√17 + √6)
2) 18 / (3+√3) =
= 18(3-√3) / (3+√3)(3-√3) =
= 18(3-√3) / (9 - 3) =
= 18(3-√3) / 6 =
= 3(3-√3) = 9 - 3√3
3) 1 / ³√2-1 =
= ((³√2)^2 + ³√2 + 1) / (2 - 1) =
= (³√2)^2 + ³√2 + 1
^2 это квадрат