Original Answer: 2
This is actually incorrect, 2 is the square root of 4 not -4 since it does not take into account the presence of the negative.
In order to find the square root (sqrt) of -4 we need to consider two facts:
(1) -N = N x -1 , where N is any number.
(2) sqrt (X x Y) = sqrt (X) x sqrt (Y)
This gives sqrt (-N) = sqrt (N x -1) = sqrt (N) x sqrt (-1)
It is generally accepted that the square root of (-1) is represented by the imaginary number i . (For more on i see http://en.wikipedia.org/wiki/Imaginary_number)
Substituting 4 for N we get sqrt (-4) = sqrt (4) x i = 2i
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The absolute value of a complex number a+bi is the square root of (a2+b2). For example, the absolute value of 4+9i is the square root of (42 + 92) which is the square root of 97 which is about 9.8489 (The absolute value of a complex number is not complex.)
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The square root of 81 is 9 and the square root of 4 is 2!
The square root of -16 is: 4 i
It is: 2
Square root of 56 = Square root of (4 x 14) = (Square root of 4) x (Square root of 14) = 2 x (Square root of 14) The actual value would be 2 x 3.741 = 7.482
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0.5
The absolute value of a complex number a+bi is the square root of (a2+b2). For example, the absolute value of 4+9i is the square root of (42 + 92) which is the square root of 97 which is about 9.8489 (The absolute value of a complex number is not complex.)
the square root of 4 is 2 square root 2
Yes. The letter i denotes the value of the "positive square root" of -1. So i² = -1. But also (-i)² = -1 as well. Remember that for every number there is a "positive" and "negative" square root. So if you want the square root of -4, you can do this: -4 = (-1)(4). So sqrt(-4) = sqrt[(-1)(4)] = sqrt(-1)*sqrt(4) = i*2 or -i*2. We usually write these as 2i and -2i.
9 square root 4 minus 12 square root 4 = -6
1.495348781
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4 square root of -9 = 4 square root of (-1)(9) = 4 square root of (i29) = 4(3i) = 12i
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