Modulus of a complex number is the distance of the complex number from the origin in a complex plane and is equal to the square root of the sum of the squares of the real and imaginary parts of the number.
The modulus of complex number z = 7 + 5i
a=7, b=5 i.e. z = 7 + 5i
Find Modulus of complex number. |z|,
Substitute the given value of a, b in the formula |z|,
||z|||= |a + bi|||= √a2 + b2|
||z|||= |7 + 5i|||= √72 + 5 2|