Express in simplest form, in terms of i.
SQRT(-243)
2007-05-29 04:47:45 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
√- 243 =
i√243=
15.58845727i
- - - - - - -s-
2007-05-29 04:53:30 · answer #1 · answered by SAMUEL D 7 · 0⤊ 0⤋
Firstly, you are going to have an imaginary part to this since you are dealing with the sqrt of a negative number, so let's pull that out first:
sqrt(-1)*sqrt(243) = i*sqrt(243)
Now, 243 has factors 81 and 3. 81 is a perfect square whose root is 9
So you have:
i*sqrt(81 * 3) = i*sqrt(81)*sqrt(3) = 9i*sqrt(3)
2007-05-29 11:52:48 · answer #2 · answered by RG 3 · 1⤊ 0⤋
â- 243 =
iâ243=
i15.58845727
2007-05-29 11:56:13 · answer #3 · answered by QUIL 1 · 0⤊ 0⤋
â(- 243)
= â (i².3^5)
= i.3^(5/2)
2007-05-30 13:53:10 · answer #4 · answered by Como 7 · 0⤊ 0⤋
sqrt(-243)
= sqrt(-1 * 3* 81)
= sqrt(-1)sqrt(3)sqrt(81)
= i * sqrt(3) * 9
= 9i * sqrt(3)
2007-05-29 11:52:09 · answer #5 · answered by A confused bio student 2 · 1⤊ 0⤋