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what is this answer in standard form .. (-2 sqrt -49)(-3+ sqrt -4

 Jan 15, 2016
 #1
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(-2 sqrt(-49)) = -2*9i = -18i

(-3 + sqrt(-4) = -3*2i = -6i

 

-18i * -6i = 108i^2 - -108

 

In standard form, = -1.08 * 10^2

 Jan 15, 2016
edited by Guest  Jan 15, 2016
 #2
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Simplify the following:
-2 sqrt(-49) (sqrt(-4)-3)

sqrt(-49) = sqrt(-1) sqrt(49) = i sqrt(49):
-2i sqrt(49) (sqrt(-4)-3)

sqrt(49)  =  sqrt(7^2)  =  7:
-2 i×7 (sqrt(-4)-3)

sqrt(-4) = sqrt(-1) sqrt(4) = i sqrt(4):
-2 i×7 (i sqrt(4)-3)

sqrt(4)  =  sqrt(2^2)  =  2:
-2 i×7 (i×2-3)

-2×7  =  -14:
-14 i (i×2-3)

i (2 i-3) = -2-3 i:
-14-(3 i)-2

Factor -1 from -(3 i)-2:
-14-(2+3 i)

-14 (-1)  =  14:
Answer: | 14 (2+3i)=28 + 42i

 Jan 15, 2016

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