Question

Simplify square root of negative 48

Answer 1

<u />$\sqrt { -48 } \\ \\ =\sqrt { \left( -1 \right) } \sqrt { 48 } \\ \\ =i\cdot \sqrt { 6 } \sqrt { 8 } \\ \\ =i\cdot \sqrt { 2 } \sqrt { 3 } \sqrt { 2 } \sqrt { 4 } \\ \\ =i\cdot 2\cdot \sqrt { 3 } \cdot 2\\ \\ =4i\sqrt { 3 }$