Which expression is equivalent to 5i? A. −5 B. −5 C. −25 D. −25

Substitute i=−1: 5i=5−1 We know that 25=5 so: 5i=25⋅−1 Recall that a⋅b=ab so: 5i=25⋅−1 5i=−25 So, the correct answer is choice C. Result: C

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signokodo7h

2021-12-04

Which expression is equivalent to 5i?
A.

\sqrt{- 5}

- \sqrt{5}

\sqrt{- 25}

- \sqrt{25}

Theirl1972

Beginner2021-12-05Added 22 answers

Substitute

i = \sqrt{- 1} :

5 i = 5 \sqrt{- 1}

We know that

\sqrt{25} = 5

so:

5 i = \sqrt{25} \cdot \sqrt{- 1}

Recall that

\sqrt{a} \cdot \sqrt{b} = \sqrt{a b}

so:

5 i = \sqrt{25 \cdot - 1}

5 i = \sqrt{- 25}

So, the correct answer is choice C.
Result:
C

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