Evaluate the radical expression and express the result in the form a + bi.

Question

√-5√-45

Answer 1

√(-5)√(-45)

 

= √(-1)(5) √(-1)(9)(5)

 

= (i√5)(3i√5)

 

= 3i²(√5)²

 

= 3(-1)(5)

 

= -15     (Answer is a real number, so there is no "+ bi" term)