Question

Which of the following is equivalent to the expression below?

√(-300)

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

Answer 1

-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

Answer 2

D. 10i √(3)

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)