A $135^\circ$ rotation around the origin in the counter-clockwise direction is applied to $\sqrt{2} - 5 \sqrt{2} i.$  What is the resulting complex number?
Question:
A $135^\circ$ rotation around the origin in the counter-clockwise direction is applied to $\sqrt{2} - 5 \sqrt{2} i.$  What is the resulting complex number?
Answer:
Let's think step by step.

user
4 + 6i
A $135^\circ$ rotation around the origin in the counter-clockwise direction is applied to $\sqrt{2} - 5 \sqrt{2} i.$  What is the resulting complex number?
train