Question

resolve:
$\sqrt{5 + \sqrt{11 + \sqrt{19 + \sqrt{29 + \sqrt{45 + \sqrt[3]{64 = ?} } } } } }$
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Answer 1

   $\sqrt{5+\sqrt{11+\sqrt{19+\sqrt{29+\sqrt{45+\sqrt[3]{64}}}}}}=$

$=\sqrt{5+\sqrt{11+\sqrt{19+\sqrt{29+\sqrt{45+4}}}}}=$

$=\sqrt{5+\sqrt{11+\sqrt{19+\sqrt{29+\sqrt{49}}}}}=$

$=\sqrt{5+\sqrt{11+\sqrt{19+\sqrt{29+7}}}}=$

$=\sqrt{5+\sqrt{11+\sqrt{19+\sqrt{36}}}}=$

$=\sqrt{5+\sqrt{11+\sqrt{19+6}}}=$

$=\sqrt{5+\sqrt{11+\sqrt{25}}}=$

$=\sqrt{5+\sqrt{11+5}}=$

$=\sqrt{5+\sqrt{16}}=$

$=\sqrt{5+4}=$

$=\sqrt{9}=$

$=3$

Answer 2

de acordo com o enunciado vem:

64^(1/3) = 4

45 + 4 = 49

√49 = 7

29 + 7 = 36

√36 = 6

19 + 6 = 25

√25 = 5

11 + 5 = 16

√16 = 4

5 + 4 = 9

√9 = 3