Срочно гужно даю 15б .Найдите целую часть числа:[tex]a = \sqrt{17 + 4 \sqrt{(2 - \sqrt{5) {?}^{2} } } } [/tex]. Created by maisibrahimov9. matematika-ru

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Срочно гужно даю 15б .Найдите целую часть числа:
[tex]a = \sqrt{17 + 4 \sqrt{(2 - \sqrt{5) {?}^{2} } } } [/tex]

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a≈4,24

$a = \sqrt[]{17 + 4 \sqrt{(2 - \sqrt{5} )} {}^{2} } = \\ a = \sqrt{17 + 4 \sqrt{5} - 8} \\ a = \sqrt{9 + 4 \sqrt{5} } \\ \\ a = \sqrt{4 + 4 \sqrt{5} + 5 } \\ a = \sqrt{(2 + \sqrt{5}) {}^{2} } \\ a = 2 + \sqrt{5}$

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