Moderate -0.3 This is a standard Further Maths FP1 question requiring the algebraic method (setting √(-77-36i) = a+bi, squaring both sides, and equating real/imaginary parts). While it involves solving simultaneous equations and requires careful algebra, it's a routine textbook exercise with a well-established procedure that FP1 students practice extensively. Slightly easier than average A-level difficulty due to its procedural nature, though harder than basic C1/C2 content.
1 In this question you must show detailed reasoning.\\
Use an algebraic method to find the square roots of $- 77 - 36 \mathrm { i }$.
\hfill \mbox{\textit{OCR FP1 AS 2021 Q1 [6]}}