0;q<0" alt="1) \sqrt{37,3 ^{2}-49*3,6 ^{2} } = \sqrt{(37,3-7*3,6)(37,3+7*3,6)} = \\
\sqrt{(37,3-25,2)(37,3+25,2)} = \sqrt{12,1*62,5}= \sqrt{1,21*6,25*100} = \\
1,1*2,5*10=27,5 \\
2) \sqrt{2 a^{2} + \sqrt{a^{8}+2a^{4}+1} } =\sqrt{2 a^{2} + \sqrt{(a^{4}+1} )^{2}} =\sqrt{2 a^{2} + a^{4}+1} }} = \\
\sqrt{(a^{2} +1})^{2} }} =a ^{2}+1 \\
3) \sqrt{108 p^{11}q^{8}} = \sqrt{4*9*3*(p^{5})^{2}*p*(q^{4})^{2}} =2*3*p^{5}*q^{4} \sqrt{3p} = \\
6p^{5}q^{4} \sqrt{3p} ;p>0;q<0" align="absmiddle" class="latex-formula">