Question

Express in terms of i: 1/5√-125
a. -5i
b. 15i
c. 5i
d. i√5

Answer 1

To express 1/5√-125 in terms of i, we rewrite the expression as i√5.

Step-by-step explanation:

To express 1/5√-125 in terms of i, we need to simplify the square root of -125. The square root of -1 is represented as i, so we can rewrite the expression as:

• 1/5√-125 = 1/5(5i)√(-1)(25)
• = 1/5(5i)(5)√(-1)
• = i√5

Therefore, the expression is equal to i√5.