The real part of the complex number root 9 + root ( - 16 ) is
Answers
Explanation:
IF WE SIMPLIFY FURTHER ,
√9=3
√ -16= -4
(-4 CAN BE WRITTEN AS 4i as i = -1 )
therefore 3is the real part and 4i is the imaginary part ...
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Given,
A complex number = √9 + √( - 16 )
To find,
The real part of the given complex number.
Solution,
We can simply solve this mathematical problem using the following process:
Mathematically,
The general form of any complex number
= (real part) + (imaginary part),
where, the real part is a real number
the imaginary part = a real number × i
{i = iota}
Now, according to the question;
The given complex number
= √9 + √( - 16 )
= +-3 + √(-1)(16)
= +-3 + (+-4)√(-1)
= (+-3) + (+-4)i {Since i = √(-1)}
=> the real part of the given complex number is +3 or -3
Hence, the real part of the given complex number can either be +3 or -3.