Question Number 90160 by A8;15: last updated on 21/Apr/20
Answered by TANMAY PANACEA. last updated on 21/Apr/20
$${put}\:{x}=\mathrm{1}\:{in}\:{RHS} \\ $$$$\sqrt{\mathrm{61}+\mathrm{6}−\mathrm{3}}\:=\mathrm{8} \\ $$$${put}\:{x}=\mathrm{1}\:{LHS} \\ $$$$\mathrm{16}^{\left(\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}\:}\right)^{\mathrm{2}} } +\mathrm{16}^{\left(\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\right)^{\mathrm{2}} } \\ $$$$\left(\mathrm{4}^{\mathrm{2}} \right)^{\frac{\mathrm{1}}{\mathrm{2}}} +\left(\mathrm{4}^{\mathrm{2}} \right)^{\frac{\mathrm{1}}{\mathrm{2}}} =\mathrm{8} \\ $$$${trial}\:{and}\:{error} \\ $$