Question

Escreva na forma decimal mais simples possível:
a)4√3-7√18+5√48+√200=

b)√28+√175=

c)√(50-√18) sobre √200=
ESTOU DANDO 26 PONTOS

Answer 1

$4 \sqrt{3}-7 \sqrt{18}+5 \sqrt{48}+ \sqrt{200}=$

$4 \sqrt{3}-7 \sqrt{2.3^2}+5 \sqrt{2^4.3}+ \sqrt{2^3.5^2}=$

$4 \sqrt{3}+20 \sqrt{3}-21 \sqrt{2}+10 \sqrt{2}=$

$24 \sqrt{3}-11 \sqrt{2}=24*1,7-11*1,4=40,8-15,4=25,4$
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b) $\sqrt{28}+ \sqrt{175}= \sqrt{2^2.7}+ \sqrt{5^2.7}=$
    
    $2 \sqrt{7}+5 \sqrt{7}=7 \sqrt{7} =7*2,6=18,2$
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c) $\frac{ \sqrt{50}- \sqrt{18} }{ \sqrt{200} }=$

$\frac{ \sqrt{5^2.2}- \sqrt{2.3^2} }{ \sqrt{2^3.5^2} } =$

$\frac{5 \sqrt{2}-3 \sqrt{2} }{10 \sqrt{2} }= \frac{2 \sqrt{2} }{10 \sqrt{2} }= \frac{1}{5}$=0,2