Question

find the modulus of 15 - 7i divided / 15 + 7i​

Answer 1

Answer:

$let \: z = \frac{15 - 7i}{15 + 7i}$

$or \: z = \frac{15 - 7i}{15 + 7i} \times \frac{15 - 7i}{15 - 7i}$

$or \: z = \frac{ {(15 - 7i)}^{2} }{ {15}^{2} + {7}^{2} }$

$or \: z = \frac{225 - 49 - 210i}{225 + 49}$

$or \: z = \frac{176 - 210i}{274}$

$|z| = \sqrt{ \frac{ {176}^{2} + {210}^{2} }{ {274}^{2} } }$