Question

Rationalise the denomenator 1/-3+2i

Answer 1

Answer: -3/13 -2i/13

Step-by-step explanation:

= 1/-3+2i x (-3 -2i)/(-3-2i). (Multiplying and dividing by (-3-2i)

= ( -3-2i)/ ( (-3)² - (2i)² ). ( (a-b)(a+b) = a² - b² )

= (-3-2i) / (9 - 4(i²) )

= (-3-2i) / (9+4). ( i² = (-1) )

= -3/13 -2i/13

Hope you understand :)