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Basile [38]
3 years ago
8

Which expression is equivalent to square root of -80

Mathematics
2 answers:
Yuki888 [10]3 years ago
7 0

Answer:

The equivalent expression is (4\sqrt{5})i

Step-by-step explanation:

Given the expression \sqrt{-80} we can use prime factorization and a property of imaginary numbers to obtain an equivalent expression.

Let's start applying prime factorization over 80

80=(2).(40)=(2).(2).(20)=(2).(2).(2).(10)=(2).(2).(2).(2).(5)=(2^{4}).(5)

The other property is i^{2}=-1 (This is a property of imaginary numbers).

We can write -80 as

-80=(2^{4}).(5).i^{2}

Now we apply square root to the expression ⇒

\sqrt{(2^{4}).(5).i^{2}}=(4\sqrt{5})i

Law Incorporation [45]3 years ago
5 0
Sqrt(-80) = 8.94427191i
Hope it helped :d
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