Question

Exercício de Matemática

Calcule:
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Answer 1

Resposta:

$a)\\ \sqrt{46+\sqrt{1+\sqrt{64} } } =\\ \\ \sqrt{46+\sqrt{1+8} } =\\ \\ \sqrt{46+\sqrt{9} } =\\ \\ \sqrt{46+3} =\\ \\ \sqrt{49} =7$

$b)\\ \sqrt{31+\sqrt{10-\sqrt{84-\sqrt{9} } } } =\\ \\ \sqrt{31+\sqrt{10-\sqrt{84-3} } } =\\ \\ \sqrt{31+\sqrt{10-\sqrt{81} } } =\\ \\ \sqrt{31+\sqrt{10-9} } =\\ \\ \sqrt{31+\sqrt{1} } =\\ \\ \sqrt{31+1} =\\ \\ \sqrt{32} =\sqrt{2^2.2^2.2} =2.2\sqrt{2} =4\sqrt{2}$