SOLUTION: Hi! May I please get some help with this expression? Evaluate the expression and write the result in the form a + bi. (sqrt(-7) sqrt(-49)) / sqrt(-63)

Algebra ->  Equations -> SOLUTION: Hi! May I please get some help with this expression? Evaluate the expression and write the result in the form a + bi. (sqrt(-7) sqrt(-49)) / sqrt(-63)      Log On


   

Question 120438: Hi! May I please get some help with this expression?
Evaluate the expression and write the result in the form a + bi.
(sqrt(-7) sqrt(-49)) / sqrt(-63)
Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%28-7%29+sqrt%28-49%29%29+%2F+sqrt%28-63%29 Start with the given expression


%28sqrt%287%29%2Ai+7%2Ai%29+%2F+%283%2Ai%2Asqrt%287%29%29 Simplify the square roots



Cancel like terms

7i%2F3 Simplify. So the expression is now in a%2Bbi form where a=0 and b=7%2F3. Note: the expression really looks like 0%2B%287%2F3%29i



Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%28-7%29+sqrt%28-49%29%29+%2F+sqrt%28-63%29
%28sqrt%28%28-1%29%2A7%29+sqrt%28%28-1%29%2A49%29%29+%2F+sqrt%28%28-1%29%2A63%29....since sqrt%28-1%29=i, we will have
i%2A%28sqrt%287%29%29+%2Ai%2A%28sqrt%2849%29%29+%2F+i%2A%28sqrt%2863%29%29....
i%2A%282.64575131%29%2Ai%2A%287%29%2F+i%2A%287.93725393%29....
i%5E2%2A%2818.52025917%29%2F+i%2A%287.93725393%29....i%5E2=-1, then we have
-1%2A%2818.52025917%29%2F+i%2A%287.93725393%29....
-%2818.52025917%29%2F+i%2A%287.93725393%29....
-%282.33%29%2F+i
-%282.33%29%281%2F+i%29