Question

calcule:
A)
$\sqrt{49 + \sqrt{16} }$

B)
$\sqrt[3]{8} - \sqrt[4]{16}$

C)
$- \sqrt{9 } + 2 \sqrt{169}$

D)
$\sqrt{50} + \sqrt{18} - \sqrt{8}$

E)
$\sqrt{12} + \sqrt{75} + \sqrt{108}$

f)
$2 \sqrt[5]{3} - 2 \sqrt{3} + 3 \sqrt{3} + 3 \sqrt[5]{3}$
​

Answer 1

Resposta passo a passo:

A)

$\sqrt{49+\sqrt{16} } \\\\\sqrt{49+\sqrt{4^{2} } } \\\\\sqrt{49+4} \\\\\sqrt{53}$

B)

$\sqrt[3]{8} -\sqrt[4]{16} \\\\\sqrt[3]{2^{3} } -\sqrt[4]{2^{4} } \\\\2-2\\\\0$

C)

$-\sqrt{9} +2\sqrt{169} \\\\-\sqrt{3^{2} } +2\sqrt{13^{2} }\\\\-3+2\times13\\\\-3+26\\\\23$

D)

$\sqrt{50} +\sqrt{18} -\sqrt{8} \\\\\sqrt{25\times2} +\sqrt{9\times2} -\sqrt{4\times2} \\\\\sqrt{25} \times\sqrt{2} +\sqrt{9} \times\sqrt{2} -\sqrt{4} \times\sqrt{2} \\\\\sqrt{5^{2} } \times\sqrt{2} +\sqrt{3^{2} } \times\sqrt{2} -\sqrt{2^{2} } \times\sqrt{2}\\\\5 \times\sqrt{2} +3 \times\sqrt{2} -2 \times\sqrt{2}\\\\5\sqrt{2} +3\sqrt{2} -2\sqrt{2}\\\\(5+3-2)\sqrt{2} \\\\6\sqrt{2}$

E)

$\sqrt{12} +\sqrt{75} +\sqrt{108} \\\\\sqrt{4\times3} +\sqrt{25\times3} +\sqrt{36\times3} \\\\\sqrt{4}\times\sqrt{3} +\sqrt{25}\times\sqrt{3} +\sqrt{36}\times\sqrt{3} \\\\\sqrt{2^{2} }\times\sqrt{3} +\sqrt{5^{2} }\times\sqrt{3} +\sqrt{6^{2} }\times\sqrt{3}\\\\2\times\sqrt{3} +5\times\sqrt{3} +6\times\sqrt{3}\\\\2\sqrt{3} +5\sqrt{3} +6\sqrt{3}\\\\(2+5+6)\sqrt{3} \\\\13\sqrt{3}$

F)

$2\sqrt[5]{3} -2\sqrt{3} +3\sqrt{3} +3\sqrt[5]{3} \\\\(2+3)\sqrt[5]{3} +(-2+3)\sqrt{3} \\\\5\sqrt[5]{3} +\sqrt{3}$