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Andru [333]
4 years ago
5

Which value is equivalent to V-25?A. -5iB. -5C. 5OD. 5i​

Mathematics
1 answer:
AlexFokin [52]4 years ago
6 0

Answer:

\sqrt{-25} = 5i

Step-by-step explanation:

Given

\sqrt{-25

Required

An equivalent

We have:

\sqrt{-25

Express -25 as -1 * 25

\sqrt{-25} = \sqrt{-1 * 25}

Split

\sqrt{-25} = \sqrt{-1} * \sqrt{25}

\sqrt{25} = 5, so:

\sqrt{-25} = \sqrt{-1} * 5

\sqrt{-1} = i --- complex numbers

So:

\sqrt{-25} = i * 5

\sqrt{-25} = 5i

<em>Hence, the equivalent is (D)</em>

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