2007-06-10 18:25:44 · 5 answers · asked by Ashlee M 1 in Science & Mathematics ➔ Mathematics
√- 144 no solution for real numbers
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A solution can be obtain through complex numbers. (Imaginary Numbers)
√- 144 = i
i√144 =
12i
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2007-06-11 01:53:24 · answer #1 · answered by SAMUEL D 7 · 0⤊ 0⤋
-144 has six complex sixth roots
The roots are complex since -144 cannot be expressed as the square of any real number.
2007-06-10 18:31:32 · answer #2 · answered by astrokid 4 · 0⤊ 0⤋
-144 does have a sixth root, but only if you go into the field of complex numbers.
In the field of real numbers there is no 6th root because multiplying a positive or negative number by itself six times can only give a positive result.
(In the complex numbers, the 6th root is approximately 1.98+1.14i)
2007-06-10 18:34:22 · answer #3 · answered by Anonymous · 0⤊ 0⤋
144 = 2*2*2*2*3*3
Therefore it cannot have a 6th root that is a natural no.
2007-06-10 18:32:31 · answer #4 · answered by cherrypassion 2 · 0⤊ 1⤋
Actually it does its aproximately 2.2894(i) where i=Sqrt(-1), it doesn't have any real roots however because in R every even-power is positive, but in fact every complex number (Reals are a subset of complex numbers) have n roots of the n-th degree.
2007-06-10 18:31:10 · answer #5 · answered by jsos88 2 · 0⤊ 0⤋