Все номера!!!!!!!!!!!!!!!!!!!!!!!!!

0 \\ \\ 40).. \\ a)..\sqrt{2}* \sqrt[3]{4}= \sqrt[6]{2^{3}}* \sqrt[6]{4^{2}}= \sqrt[6]{8*16}= \sqrt[6]{128}= \sqrt[6]{2^{7}}=2 \sqrt[6]{2}; \\ (\sqrt{2}* \sqrt[3]{4}=2^{1/2}*(2^{2})^{1/3}=2^{1/2+2/3}=2^{7/6}=2^{1+1/6}=2*2^{1/6}=2 \sqrt[6]{2}) " alt="\displaystyle 38)..\\a)..\sqrt[6]{2}-\sqrt[3]{10}=\sqrt[6]{2}-\sqrt[6]{10^{2}}<0\\b).. \sqrt[3]{2}-\sqrt{2}=\sqrt[6]{2^{2}}-\sqrt[6]{2^{3}}<0\\c)..\sqrt[4]{5}-\sqrt[6]{7}= \sqrt[12]{5^{3}}-\sqrt[12]{7^{2}}=\sqrt[12]{125}-\sqrt[12]{49}>0 \\ \\ 40).. \\ a)..\sqrt{2}* \sqrt[3]{4}= \sqrt[6]{2^{3}}* \sqrt[6]{4^{2}}= \sqrt[6]{8*16}= \sqrt[6]{128}= \sqrt[6]{2^{7}}=2 \sqrt[6]{2}; \\ (\sqrt{2}* \sqrt[3]{4}=2^{1/2}*(2^{2})^{1/3}=2^{1/2+2/3}=2^{7/6}=2^{1+1/6}=2*2^{1/6}=2 \sqrt[6]{2}) " align="absmiddle" class="latex-formula">
$\displaystyle b).. \sqrt{3}* \sqrt[4]{3}= \sqrt[4]{3^{2}}* \sqrt[4]{3}= \sqrt[4]{3^{3}}= \sqrt[4]{27} \\ c).. \sqrt[6]{4}: \sqrt[4]{2}= \sqrt[12]{4^{2}}: \sqrt[12]{2^{3}}= \sqrt[12]{16:8}= \sqrt[12]{2}\\ d).. \sqrt[3]{x}: \sqrt[5]{x}= \sqrt[15]{x^{5}}: \sqrt[15]{x^{3}}= \sqrt[15]{x^{2}};$

$\displaystyle 39).. \\a).. \sqrt[3]{4}\ \textgreater \ \sqrt[4]{3}\\\sqrt[12]{4^{4}}\ \textgreater \ \sqrt[12]{3^{3}}\\ \\ b)..2 \sqrt[3]{3}\ \textless \ 3\sqrt[3]{2} \\\sqrt[3]{3*2^{3}}\ \textless \ \sqrt[3]{2*3^{3}} \\ \sqrt[3]{24}\ \textless \ \sqrt[3]{54}\\\\c)..2\sqrt[4]{3}\ \textless \ 3\sqrt[4]{2}\\\sqrt[4]{3*2^{4}}\ \textless \ \sqrt[4]{2*3^{4}}\\\sqrt[4]{48}\ \textless \ \sqrt[4]{162}\\\\41)..\\a)..\sqrt{4+\sqrt{7}}*\sqrt[4]{23- 8\sqrt{7}}=\sqrt[4]{(4+\sqrt{7})^{2}}*\sqrt[4]{23-8\sqrt{7}}=\\\\=\sqrt[4]{(23+8\sqrt{7})*(23-8\sqrt{7})}=\sqrt[4]{23^{2}-64*7}=\sqrt[4]{81}=\sqrt[4]{3^{4}}=3$

$\displaystyle b).. \sqrt{3-2 \sqrt{2}}* \sqrt[4]{17+12 \sqrt{2}}= \sqrt[4]{(3-2 \sqrt{2})^{2}}*\sqrt[4]{17+12 \sqrt{2}}= \\ \\ = \sqrt[4]{(17-12 \sqrt{2})*(17+12 \sqrt{2}}= \sqrt[4]{289-288}= \sqrt[4]{1}=1$