Question

Simplifique e Reduza os termos Semelhantes.

tenho Muitas Duvidas, alguém Pode me Ajudar.


a) √12 + √48

b) √8 + √18

c) √27 + √75 + 5√3

d) √125 + 2√5

e) √2 + 10√50

f) √3 + 8√12 - 7√27

g) √32 + √8 + √128

Answer 1

Resposta:

Explicação passo-a-passo:

$\displaystyle \mathsf{a)\sqrt{12}+\sqrt{48}\to2\sqrt{3}+4\sqrt{3}}$

$\displaystyle \mathsf{(2+4)\sqrt{3}\to6\sqrt{3}}$

$\displaystyle \mathsf{b)\sqrt{8}+\sqrt{18}\to2\sqrt{2}+3\sqrt{2}}$

$\displaystyle \mathsf{(2+4)\sqrt{3}\to6\sqrt{3} }$

$\displaystyle \mathsf{c)\sqrt{27}+\sqrt{75}+5\sqrt{3}}\\\\\displaystyle \mathsf{3\sqrt{3}+5\sqrt{3}+5\sqrt{3}}$

$\displaystyle \mathsf{(3+5+5)\sqrt{3} \to13\sqrt{3} }$

$\displaystyle \mathsf{d)\sqrt{125}+2\sqrt{5} }$

$\displaystyle \mathsf{5\sqrt{5}+2\sqrt{5}}\\\displaystyle \mathsf{(5+2)\sqrt{5}\to7\sqrt{5}  }$

$\displaystyle \mathsf{e)\sqrt{2}+10\sqrt{50}}\\\displaystyle \mathsf{\sqrt{2}+10\times5\sqrt{2}}\\\displaystyle \mathsf{\sqrt{2}+50\sqrt{2}}\\\displaystyle \mathsf{(1+50)\sqrt{2}\to51\sqrt{2}}$

$\displaystyle \mathsf{f)\sqrt{3}+8\sqrt{12}-7\sqrt{27}}\\\displaystyle \mathsf{\sqrt{3}+16\sqrt{3}-3\sqrt{3}}\\\displaystyle \mathsf{(3+16-3)\sqrt{3}\to16\sqrt{3}}$

$\displaystyle \mathsf{\sqrt{32}+\sqrt{8}+\sqrt{128}}\\\displaystyle \mathsf{4\sqrt{2}+2\sqrt{2}+8\sqrt{2}}\\\displaystyle \mathsf{(4+2+8)\sqrt{2}\to14\sqrt{2}}$