what is the integral part of 5
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Answer:
5 is integral part of 5
Step-by-step explanation:
complex no. is written as
z= x+ i y
here x is integral part
y is imaginary part
Answered by
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Assuming that I denotes the integral part and f denotes the functional part of (5+2
6
)
n
. Then,
I+f=5
n
+C
1
3
n−1
6
+C
2
3
n−2
⋅6+C
3
3
n−3
(
6
)
3
+………(1)
Considering 5−2
6
<1 and is also positive, therefore (5−2
6
)
n
is a proper fraction with out an integral part.
∴f
′
=(5−2
6
)
n
=5
n
−C
1
3
n−1
6
+C
2
3
n−2
⋅6−C
3
3
n−3
(
6
)
3
+………(2)
Adding (1) and (2), we get
I+f+f
′
=2(5
n
+C
2
3
n−2
⋅6+……)=An even Integer
but since f and f
′
are proper integer their sum must be 1 for I+f+f
′
to be an integer.
Therefore I is an odd integer
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