Question

WHich choice is equivalent to the expression below? √-125

Answer 1

Answer:

Final simplified form is $5\sqrt{5}i$

Step-by-step explanation:

We have been given an expression $\sqrt{-125}$

Now we need to simplify $\sqrt{-125}$ and check which choice matches with simplified form of $\sqrt{-125}$.

You missed to provide the choices but still we simplify that.

$\sqrt{-125}$

$=\sqrt{-5*5*5}$

$=5\sqrt{-5}$

When there is negative sign inside square root then we replace that by "i" iota.

$=5\sqrt{5}i$

Hence final simplified form is $5\sqrt{5}i$