Question

find the sq root of 7-24i

Answer 1

$The \: \: answer \: \: is \: \: given \: \: below \\ \\ Now, \: \: 7 - 24i \\ \\ = (16 - 9) - 24i \\ \\ = 16 - 24i - 9 \\ \\ = 16 - 24i + 3 {i}^{2} \: \: (since \: \: {i}^{2} = - 1) \\ \\ = {4}^{2} - 2 \times 4 \times 3i + 3 {i}^{2} \\ \\ = {(4 - 3i)}^{2} \\ \\ Hence, \: \: the \: \: square \: \: roots \: \: of \\ (7 - 24i) \: \: are \\ \\ + (4 - 3i) \: \: and \: \: - (4 - 3i) \\ \\ Thank \: \: you \: \: for \: \: your \: \: question.$

Answer 2

hope it helps you.....