2) ОДЗ :
0\\\\\sqrt{x}>-1\\\\x>0\\\\log_{\sqrt{3} }(\sqrt{x}+1)=-2\\\\\sqrt{x}+1=\frac{1}{3}\\\\\sqrt{x} =-\frac{2}{3}" alt="\sqrt{x} +1> 0\\\\\sqrt{x}>-1\\\\x>0\\\\log_{\sqrt{3} }(\sqrt{x}+1)=-2\\\\\sqrt{x}+1=\frac{1}{3}\\\\\sqrt{x} =-\frac{2}{3}" align="absmiddle" class="latex-formula">
Решений нет
3)
![\sqrt[3]{2-\sqrt{3} }*\sqrt[6]{7+4\sqrt{3} } =\sqrt[6]{(2-\sqrt{3})^{2}}*\sqrt[6]{7+4\sqrt{3} }=\sqrt[6]{(4-4\sqrt{3}+3)(7+4\sqrt{3} )}=\sqrt[6]{(7-4\sqrt{3})(7+4\sqrt{3})}=\sqrt[6]{7^{2}-(4\sqrt{3})^{2}}=\sqrt[6]{49-48}=\sqrt[6]{1} =1](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2-%5Csqrt%7B3%7D%20%7D%2A%5Csqrt%5B6%5D%7B7%2B4%5Csqrt%7B3%7D%20%7D%20%3D%5Csqrt%5B6%5D%7B%282-%5Csqrt%7B3%7D%29%5E%7B2%7D%7D%2A%5Csqrt%5B6%5D%7B7%2B4%5Csqrt%7B3%7D%20%7D%3D%5Csqrt%5B6%5D%7B%284-4%5Csqrt%7B3%7D%2B3%29%287%2B4%5Csqrt%7B3%7D%20%29%7D%3D%5Csqrt%5B6%5D%7B%287-4%5Csqrt%7B3%7D%29%287%2B4%5Csqrt%7B3%7D%29%7D%3D%5Csqrt%5B6%5D%7B7%5E%7B2%7D-%284%5Csqrt%7B3%7D%29%5E%7B2%7D%7D%3D%5Csqrt%5B6%5D%7B49-48%7D%3D%5Csqrt%5B6%5D%7B1%7D%20%3D1 "\sqrt[3]{2-\sqrt{3} }*\sqrt[6]{7+4\sqrt{3} } =\sqrt[6]{(2-\sqrt{3})^{2}}*\sqrt[6]{7+4\sqrt{3} }=\sqrt[6]{(4-4\sqrt{3}+3)(7+4\sqrt{3} )}=\sqrt[6]{(7-4\sqrt{3})(7+4\sqrt{3})}=\sqrt[6]{7^{2}-(4\sqrt{3})^{2}}=\sqrt[6]{49-48}=\sqrt[6]{1} =1")