Question

dos numeros abaixo o unico irracional é:

√4
∛125
√81 elevado a 4
√128 elevado a 5
√1000000 elevado a 6

Answer 1

$\sqrt{4} =2 (racional)\\ \sqrt[3]{125} =5(racional)\\ ( \sqrt{81} )^4=( \sqrt{3^4} )^4=( 3^2 )^4=3^8 (racional)\\ \\ ( \sqrt{128}) ^5=( \sqrt{2^7}) ^5= \sqrt{2^{35}}= \sqrt{2^{34+1}}=\sqrt{2^{34}\cdot2}}\\ =\sqrt{2^{34}}\cdot\sqrt{2}}=2^{17} \sqrt{2}(irracional) \\ \\ (\sqrt{1000000} )^6= (\sqrt{10^6} )^6= (10^3 )^6=10^{18} (racional)$

Answer 2

Resposta:

$\sqrt[5]{128}$

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