Question

express the following in the form of a+ib ,a, b belongs to R

$i = \sqrt{ - 1}$
state the values of a and b


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Answer 1

Answer:

Step-by-step explanation:

(-√5 + 2√-4) (1 - √-9)

Multiplying both values

=> -√5 *1 - (-√5)*(√-9)  +  2√-4 * 1  - (2√-4) * (√-9)

=> -√5 + √-45  + 2√-4  -   2√36

=> -√5  +  √45 * √-1   +  2√4 * √-1   -  2*6

Rearranging terms

=> -√5 -12  + √45 *√-1  +2*2*√-1

=> -(√5 + 12) + √45*i + 4*i

=> -(√5 + 12) + i (3√5 + 4)

Hope it helps :-)