Question

помогит епожалуйста.ооочень надо) задание во вложении

Answer 1

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$\sqrt{5 \frac{19}{25} 1 \frac{13}{36}}=\sqrt{\frac{5*25+19}{25}*\frac{1*36+13}{36}}=\sqrt{\frac{144}{25}*\frac{49}{36}}=\sqrt{\frac{144}{25}}*\sqrt{\frac{49}{36}}=\sqrt{(\frac{12}{5})^2}*\sqrt{(\sqrt{\frac{7}{6}})^2}=\frac{12}{5}*\frac{7}{6}=\frac{12*7}{5*6}=\frac{2*7}{5}=\frac{14}{5}=2.8;$

 

$\sqrt{7.2}*\sqrt{0.2}=\sqrt{7.2*0.2}=\sqrt{36*2*0.1*2*0.1}=\sqrt{6^2*2^2*0.1^2}=\sqrt{6^2}*\sqrt{2^2}*\sqrt{0.1^2}=6*2*0.1=1.2$

 

$\sqrt{\frac{27^2-23^2}{2}}=\\ \sqrt{\frac{(27-23)*(27+23)}{2}}=\\ \sqrt{\frac{4*50}{2}}=\\ \sqrt{4*25}=\sqrt{100}=\sqrt{10^2}=10$