16.1k views
6 votes
Simplify √-48

1) -4√3

2) 4√-3

3) 4i√3

4) 4√3i

User Ubermonkey
by
5.1k points

1 Answer

5 votes

We can change the negative sign into i instantly as sqrt-1 is i.

With this the problem simplifies to sqrt48*i.

Now sqrt48=sqrt4*sqrt4*sqrt3=2*2*sqrt3

So the final product is 4sqrt3*i=4isqrt3.

Thus choosing choice 3 :)

User Gustavo Barbosa
by
5.0k points
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