Find the product and quotient of the complex numbers `1+ i and 3+ i`.

Find the modulus and argument of the complex number (1+2i)/(1-3i) .

Find the modulus and argument of the complex number (2 + i)/(4i + (1+ i)^(2))

Find the modulus and argument of the complex numbers : (i) (1+i)/(1-i) (ii) 1/(1+i)

Find the multiplicative inverse of the complex number 4 + 3i

Find the square root of the complex number 18i

Find the multiplicative inverse of the complex number. i

Find the modulus and argument of the following complex number and convert them in polar form: (1+3i)/(1-2i)

Find the multiplicative inverse of the complex number. 4 - 3i

Find the square root of the complex number -4-3i

Find the modulus and argument of the following complex number and hence express them in the polar form: (1-i)/(1+i)