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Simplify with steps! ANSWER IS 10i√5, i think

2√-125

User Potame
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1 Answer

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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
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