CV18

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{\sqrt  {-8-6i}}\,

Rearranging the coeficient ofi\,

{\sqrt  {-8-6i}}={\sqrt  {-8-2(3)(1)(i)}}\,

Adding and subtracting 9 on the right hand side, we get {\sqrt  {-8-6i}}={\sqrt  {-8-2(3)(1)(i)+9-9}}\,

Simplifying and readjusting {\sqrt  {-8-6i}}={\sqrt  {1-2(3)(1)(i)-3^{{2}}}}\,

again rearranging 9 as a multiple ofi\,

{\sqrt  {-8-6i}}={\sqrt  {1^{{2}}-2(3i)(1)+(3i)^{{2}}}}\,

Hence readjusting the values {\sqrt  {-8-6i}}={\sqrt  {(1-3i)^{{2}}}}\,

Hence the value is {\sqrt  {-8-6i}}=1-3i\,

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