Question

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

Answer 1

√-125 = (√-1) (√125)

= (5√5) (i) = 5i√5

Hope this helps!

Answer 2

Answer:

Option (A) is correct

Step-by-step explanation:

$\sqrt{-125}\\=\sqrt{(-5)\times 5\times 5}\\=5\sqrt{(-1)\times 5}\\=5\sqrt{i^{2}\times 5}$

\* Since , i² = -1*\

$=5i\sqrt{5}$

Therefore,

$\sqrt{-125}=5i\sqrt{5}$

Option A is correct

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