Question

Which value is equivalent to V-25?
A. -5i
B. -5
C. 5
OD. 5i​

Answer 1

`√(-25) = 5i`

Explanation:

Given

`\sqrt{-25`

Required

An equivalent

We have:

`\sqrt{-25`

Express -25 as -1 * 25

`√(-25) = √(-1 * 25)`

Split

`√(-25) = √(-1) * √(25)`

`√(25) = 5`, so:

`√(-25) = √(-1) * 5`

`√(-1) = i` --- complex numbers

So:

`√(-25) = i * 5`

`√(-25) = 5i`

Hence, the equivalent is (D)