119k views
1 vote
Simplify with steps! ANSWER IS 10i√5, i think

2√-125

User Potame
by
8.0k points

1 Answer

4 votes

Think of two numbers that multiply to 125. One way is 25*5 = 125. Note how one of the factors (25) is a perfect square. We'll use this to help simplify sqrt(-125)

2*sqrt(-125) = 2*sqrt(-1*25*5)

2*sqrt(-125) = 2*sqrt(-1)*sqrt(25)*sqrt(5)

2*sqrt(-125) = 2*i*5*sqrt(5)

2*sqrt(-125) = 2*5*i*sqrt(5)

2*sqrt(-125) = 10i*sqrt(5)

So you have the correct answer. Nice job.

User Ragoler
by
7.9k points

No related questions found