How do you simplify \sqrt{-4}-\sqrt{-25}?

expeditiupc

expeditiupc

Answered question

2022-01-17

How do you simplify 425?

Answer & Explanation

Robert Pina

Robert Pina

Beginner2022-01-18Added 42 answers

Explanation:
We know for the complex numbers: i2=1
Let, z=425
z=4(1)25(1)
z=4i225i2
z=(2i)2(5i2)
z=(±2i)(±5i)
z=(2i)(5i) or z=(2i)(5i)
z=3i or z=3i

lovagwb

lovagwb

Beginner2022-01-19Added 50 answers

Recall that 1=i. With this in mind, we can rewrite this as
41(251)
±2i(±5i)
2i5i=3i and 2i(5i)=5i23i
Therefore, our solutions are ±3i.

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