Question

25 pontos com cálculos

Answer 1

$a) \sqrt{12}+ \sqrt{243}= \sqrt{2^2.3}+ \sqrt{3^4.3}=2 \sqrt{3}+3^2 \sqrt{3}=2 \sqrt{3}+9 \sqrt{3}=11 \sqrt{3}$
$b) \sqrt{8}+ \sqrt{8}=2 \sqrt{8}= \sqrt{8.2^2}= \sqrt{8.4}= \sqrt{32}$
$c) \frac{6}{ \sqrt{6} }= \frac{6}{ \sqrt{6} }. \frac{ \sqrt{6} }{ \sqrt{6} }= \frac{6 \sqrt{6} }{(\sqrt{6})^2 }= \frac{6 \sqrt{6} }{6}= \sqrt{6}$
$d) \sqrt{6}. \sqrt{10}= \sqrt{6.10}= \sqrt{2.3.2.5}= \sqrt{2^2.15}=2 \sqrt{15}$

Answer 2

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