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Drupady [299]
3 years ago
10

√-225 • √-36 . show work.

Mathematics
1 answer:
Darya [45]3 years ago
7 0

Answer:

±90

Step-by-step explanation:

√(-225) · √(-36) = (15i)·(6i) = 90i² = 90·(-1) = -90

_____

On the other hand, ...

... √(-225) · √(-36) = √((-225)·(-36)) = √8100 = 90

___

If you consider all the roots at each stage, the result is ±90. Since you're working with complex numbers here, it is reasonable to recognize every number has two square roots.

... √(-225) = ±15i

... √(-36) = ±6i

... √(-225) · √(-36) = (±15i)·(±6i) = ±90i² = ±90

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