Which of the following is equivalent to the expression below?
√(-300)

A. -10i √(3)
B. -3i √(10)
C. 3i √(10)
D. 10i √(3)

-300 is equal to -1*100*3
The square root of 100 is 10
The square root of -1 is i
sqrt(300)
=sqrt(100)*sqrt(3)*sqrt(-1)
=10*sqrt(3)*i
Order of multiplication doesn't matter
Answer D
btw you accidentally uploaded a selfie xD

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wegnerkolmp2741o wegnerkolmp2741o · Answer 2 · 2019-07-16T20:36:55+02:00

wegnerkolmp2741o wegnerkolmp2741o

16-07-2019

Answer:

D. 10i √(3)

Step-by-step explanation:

√(-300)

We know sqrt (ab) = sqrt(a) sqrt(b)

sqrt(-300) = sqrt(-3) sqrt(100)

= sqrt(-1) sqrt(3) sqrt(100)

The sqrt(-1) =the imaginary number 1 and sqrt(100) =10

= i * sqrt(3) * 10

=10i sqrt(3)

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Which of the following is equivalent to the expression below? √(-300) A. -10i √(3) B. -3i √(10) C. 3i √(10) D. 10i √(3)

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Which of the following is equivalent to the expression below?
√(-300)

A. -10i √(3)
B. -3i √(10)
C. 3i √(10)
D. 10i √(3)