SOLUTION: Perform the indicated operations and express your answer in the form a + bi. sqrt (5i-12)(12+5i)

Algebra ->  Linear-equations -> SOLUTION: Perform the indicated operations and express your answer in the form a + bi. sqrt (5i-12)(12+5i)      Log On


   

Question 820987: Perform the indicated operations and express your answer in the form a + bi.
sqrt (5i-12)(12+5i)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28%285i-12%29%2812%2B5i%29%29

sqrt%28%285i-12%29%285i%2B12%29%29

sqrt%28%285i%29%5E2-%2812%29%5E2%29

sqrt%2825i%5E2-144%29

sqrt%2825%28-1%29-144%29

sqrt%28-25-144%29

sqrt%28-169%29

sqrt%28-1%2A169%29

sqrt%28-1%29%2Asqrt%28169%29

i%2A13

13i


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Answer:


sqrt%28%285i-12%29%2812%2B5i%29%29=13i


The answer is in a%2Bbi form where a=0 and b=13