Find the value of 1/6
Answers
Answer:
Value of 1/6 = 0.16666....
Step-by-step explanation:
Answer:
Step-by-step explanation:√
−
1
Explanation:
(
−
1
)
1
6
Know that,
a
b
c
=
c
√
a
b
So, the original expression becomes
6
√
(
−
1
)
1
=
6
√
−
1
From here, it doesn't look like you can simplify this further, or maybe you can, but you would get a really weird complex number...
Answer link
Rhys
Feb 16, 2018
⇒
z
=
e
i
π
6
(
1
+
2
k
)
k
=
{
0
,
1
,
2
,
3
,
4
,
5
}
Explanation:
If you understand complex numbers...
Let
z
=
(
−
1
)
1
6
⇒
z
6
=
−
1
Hence this is the equation we can try to solve to find the value of
z
−
1
=
e
i
π
⇒
z
6
=
e
i
π
We know
e
2
k
i
π
=
1
∀
k
∈
Z
Multiply by this, is just the same as multiplying by 1:
⇒
z
6
=
e
i
π
⋅
e
2
k
i
π
⇒
z
6
=
e
i
π
(
1
+
2
k
)
⇒
z
=
e
i
π
6
(
1
+
2
k
)
,
k
=
{
0
,
1
,
2
,
3
,
4
,
5
}
As all the other
k
yields repeated roots...