The answer is: " 4i √7 " .
_____________________________________________________
Explanation:
_____________________________________________________
√(-112) = i √112 ; in which "i" represents an "imaginary number";
→ which is: " √(-1) " .
_____________________________________________________
√112 = √8 * √14 ;
√8 = √4√2 = 2√2 ;
√112 = 2 √2√14 = 2 √28
√28 = √7 √4 = 2√7 ;
→ √112 = 2√28 = 2 * 2√7 = 4√7 ;
→ √-112 = i √112 = " 4i √7 " .
______________________________________________________