Answer:
The choice that is equivalent to the expression √-125 is 5i√5.
Option (B) is true.
Explanation:
To simplify the expression √-125, we can start by factoring out -1 from the radicand.
√-125 = √(-1 * 125)
Since the square root of -1 is denoted as "i" (the imaginary unit), we can rewrite the expression as:
√(-1 * 125) = √(-1) * √(125) = i * √(125)
Now, we can simplify the square root of 125:
i * √(125) = i * √(25 * 5)
= i * √25 * √5
= i * 5 * √5
= 5i√5
Therefore,
Option (B) is true.
Which choice is equivalent to the expression below?
√-125
A. 5i√(-5)
B. 5i√5
C. 5i
D. -5i
E. √125