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BARSIC [14]
2 years ago
10

Which choice is equivalent to the expression below √-12

Mathematics
2 answers:
kondaur [170]2 years ago
7 0

Answer:

E

Step-by-step explanation:

using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}, hence

\sqrt{-12}

= \sqrt{4(3)(-1)} = \sqrt{4} × \sqrt{3} × \sqrt{-1} [\sqrt{-1} = i]

= 2i\sqrt{3} → E


jek_recluse [69]2 years ago
4 0

Answer:

Step-by-step explanation:

Alright, lets get started.

The  given expression is \sqrt{-12}

As we know, \sqrt{-1} can be written as i , so the expression would be :

\sqrt{12i}

Now, \sqrt{12} can be written as 2\sqrt{3}.

So, our expression will become :

2\sqrt{3}i

Or say

2i\sqrt{3}   ...    Answer option E

Hope it will help :)

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