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Evaluate
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The opposite of is .
Combine the real and imaginary parts in numbers and .
Add to . Add to .
Real Part
Solution Steps
The opposite of is .
Combine the real and imaginary parts in numbers and .
Add to . Add to .
The real part of is .
Imaginary Part
Solution Steps
The opposite of is .
Combine the real and imaginary parts in numbers and .
Add to . Add to .
The imaginary part of is .
Complex Conjugate
Solution Steps
The opposite of is .
Combine the real and imaginary parts in numbers and .
Add to . Add to .
Complex conjugate of is , the number with the same real part and the opposite imaginary part.
Complex Modulus
Solution Steps
The opposite of is .
Combine the real and imaginary parts in numbers and .
Add to . Add to .
The modulus of a complex number is . The modulus of is .
Complex Argument
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Similar Problems from Web Search

3-4i+\left(3+4i\right)=6
The opposite of -3-4i is 3+4i.
3+3+\left(-4+4\right)i=6
Combine the real and imaginary parts in numbers 3-4i and 3+4i.
6
Add 3 to 3. Add -4 to 4.
Re(3-4i+\left(3+4i\right))=6
The opposite of -3-4i is 3+4i.
Re(3+3+\left(-4+4\right)i)=6
Combine the real and imaginary parts in numbers 3-4i and 3+4i.
Re(6)=6
Add 3 to 3. Add -4 to 4.
6
The real part of 6 is 6.
Im(3-4i+\left(3+4i\right))=0
The opposite of -3-4i is 3+4i.
Im(3+3+\left(-4+4\right)i)=0
Combine the real and imaginary parts in numbers 3-4i and 3+4i.
Im(6)=0
Add 3 to 3. Add -4 to 4.
0
The imaginary part of 6 is 0.
conjugate(3-4i+\left(3+4i\right))=6
The opposite of -3-4i is 3+4i.
conjugate(3+3+\left(-4+4\right)i)=6
Combine the real and imaginary parts in numbers 3-4i and 3+4i.
conjugate(6)=6
Add 3 to 3. Add -4 to 4.
6
Complex conjugate of 6 is 6, the number with the same real part and the opposite imaginary part.
|3-4i+\left(3+4i\right)|=6
The opposite of -3-4i is 3+4i.
|3+3+\left(-4+4\right)i|=6
Combine the real and imaginary parts in numbers 3-4i and 3+4i.
|6|=6
Add 3 to 3. Add -4 to 4.
6
The modulus of a complex number a+bi is \sqrt{a^{2}+b^{2}}. The modulus of 6 is 6.
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