Question

Simplifique os radicais e reduza os termos. ( não consegui digitar tudo)

Answer 1

Resposta:

$\sqrt{50}+ 4\sqrt{18}-6\sqrt{2} =11\sqrt{2}\\\\2\sqrt{20}+ 4\sqrt{45}+\sqrt{125}=21\sqrt{5}\\\\\\5\sqrt{3}+ \sqrt{12}-5\sqrt{48}=-13\sqrt{3}\\\\\\-2\sqrt{10}- 5\sqrt{90}+6\sqrt{10}-8\sqrt{40}=-27\sqrt{10}\\\\\\\sqrt[3]{2} +\sqrt{2} +3\sqrt{2} +2\sqrt[3]{2} -\sqrt{8} =3\sqrt[3]{2}+2\sqrt{2}$

Answer 2

Explicação passo-a-passo:

A

$\sqrt{50} + 4 \sqrt{18} - 6 \sqrt{2}$

$\sqrt{5 {}^{2} \times 2 } + 4 \sqrt{3 {}^{2} \times 2 } - 6 \sqrt{2}$

$\sqrt{5 {}^{2} } \sqrt{2} + 4 \sqrt{3 {}^{2} } \sqrt{2} - 6 \sqrt{2}$

$5 \sqrt{2} + 4 \times 3 \sqrt{2} - 6 \sqrt{2}$

$5 \sqrt{2} + 12 \sqrt{2} - 6 \sqrt{2}$

$(5 + 12 - 6) \sqrt{2}$

$(17 - 6) \sqrt{2}$

$11 \sqrt{2}$

B

$2 \sqrt{20} - 4 \sqrt{45} + \sqrt{125}$

$2 \sqrt{2 {}^{2} \times 5} - 4 \sqrt{3 {}^{2} \times 5 } + \sqrt{5 {}^{3} }$

$2 \sqrt{2 {}^{2} } \sqrt{5} - 4 \sqrt{3 {}^{2} } \sqrt{5} + \sqrt{5 {}^{2 + 1} }$

$2 \times 2 \sqrt{5} - 4 \times 3 \sqrt{5} + \sqrt{5 {}^{2} \times 5 {}^{1} }$

$4 \sqrt{5} - 12 \sqrt{5} + \sqrt{5 {}^{2 } \times 5}$

$4 \sqrt{5} - 12 \sqrt{5} + \sqrt{5 {}^{2} } \sqrt{5}$

$4 \sqrt{5} - 12 \sqrt{5} + 5 \sqrt{5}$

$(4 - 12 + 5) \sqrt{5}$

$( - 8 + 5) \sqrt{5}$

$- 3 \sqrt{5}$

C

$5 \sqrt{3} + \sqrt{12} - 5 \sqrt{48}$

$5 \sqrt{3} + \sqrt{2 {}^{2} \times 3 } - 5 \sqrt{4 {}^{2} \times 3 }$

$5 \sqrt{3} + \sqrt{2 {}^{2} } \sqrt{3} - 5 \sqrt{4 {}^{2} } \sqrt{3}$

$5 \sqrt{3} + 2 \sqrt{3} + 5 \times 4 \sqrt{3}$

$5 \sqrt{3} + 2 \sqrt{3} - 20 \sqrt{3}$

$(5 + 2 - 20) \sqrt{3}$

$(7 - 20) \sqrt{3}$

$- 13 \sqrt{3}$

D

$- 2 \sqrt{10} - 5 \sqrt{90} + 6 \sqrt{10} - 8 \sqrt{40}$

$- 2 \sqrt{10} - 5 \sqrt{3 {}^{2} \times 10} + 6 \sqrt{10} - 8 \sqrt{2 {}^{2} \times 10}$

$- 2 \sqrt{10} - 5 \sqrt{3 {}^{2} } \sqrt{10} + 6 \sqrt{10} - 8 \sqrt{2 {}^{2} } \sqrt{10}$

$- 2 \sqrt{10} - 5 \times 3 \sqrt{10} + 6 \sqrt{10} - 8 \times 2 \sqrt{10}$

$- 2 \sqrt{10} - 15 \sqrt{10} + 6 \sqrt{10} - 16 \sqrt{10}$

$( - 2 - 15 + 6 - 16) \sqrt{10}$

$( - 17 + 6 - 16) \sqrt{10}$

$( - 11 - 16) \sqrt{10}$

$- 27 \sqrt{10}$

E

$\sqrt[3]{2} + \sqrt{2} + 3 \sqrt{2} + 2 \sqrt[3]{2} - \sqrt{8}$

$\sqrt[3]{2} + \sqrt{2} + 3 \sqrt{2} + 2 \sqrt[3]{2} - \sqrt{2 {}^{3} }$

$\sqrt[3]{2} + \sqrt{2} + 3 \sqrt{2} + 2 \sqrt[3]{2} - \sqrt{2 {}^{2 + 1} }$

$\sqrt[3]{2} + \sqrt{2} + 3 \sqrt{2} + 2 \sqrt[3]{2} - \sqrt{2 {}^{2} \times 2 {}^{1} }$

$\sqrt[3]{2} + \sqrt{2} + 3 \sqrt{2} + 2 \sqrt[3]{2} - \sqrt{2 {}^{2} \times 2 }$

$\sqrt[3]{2} + \sqrt{2} + 3 \sqrt{2} + 2 \sqrt[3]{2} - \sqrt{2 {}^{2} } \sqrt{2}$

$\sqrt[3]{2} + \sqrt{2} + 3 \sqrt{2} + 2 \sqrt[3]{2} - 2 \sqrt{2}$

$(1 + 2) \sqrt[3]{2} + (1 + 3 - 2) \sqrt{2}$

$3 \sqrt[3]{2} + (4 - 2) \sqrt{2}$

$3 \sqrt[3]{2} + 2 \sqrt{2}$