Mathematics: Which choice is equivalent to the expression below? √-125

Hi, so your answer is the second one...

Which choice is equivalent to the expression below?

lenaeeee

08.01.2022

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 $5\sqrt{5}i$

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