Question

DESAFIO! calcule o valor das expressões:

A) ⁴√10 000+ √0,01 + ³√0,027

B) 144 1/2 + 100 1/2 - √ 200/8

Answer 1

A) $\sqrt[4]{10000}+ \sqrt{0,01} + \sqrt[3]{0,027}$

$\sqrt[4]{10^{4}}+ \sqrt{\frac{1}{100} } + \sqrt[3]{ \frac{27}{1000} }$
$\sqrt[4]{10^{4}}+\frac{\sqrt{1}}{\sqrt{100}}+\frac{\sqrt[3]{27}}{\sqrt[3]{1000}}$
$\sqrt[4]{10^{4}}+\frac{\sqrt{1}}{\sqrt{10^{2}}}+\frac{\sqrt[3]{3^{3}}}{\sqrt[3]{10^{3}}}$
$10+\frac{1}{10}+\frac{3}{10}$
$10+0,1+0,3$
$10,4$  ou  $\frac{52}{5}$

B) $144^{\frac{1}{2}}+100^{\frac{1}{2}}-\sqrt{\frac{200}{8}}$

$144^{\frac{1}{2}}+100^{\frac{1}{2}}-\sqrt{\frac{200}{8}}$
$\sqrt{144}+\sqrt{100}-\sqrt{25}$
$12+10-5$
$17$