- Product Rule of Radicals: √ab = √a × √b
So firstly, factor out i (i = √-1):
10i√80
Next, apply the product rule of radicals and simplify the radical as such:
√80 = √10 × √8 = √5 × √2 × √4 × √2 = 2 × 2 × √5 = 4√5
10i × 4√5 = 40i√5
Your final answer is 40i√5.
