Question

How do you simplify the square root of -300?

Answer 1

If you are going to simplify it, you want to split it into 2 square roots. In this case, it will be sqrt of -3 multiplied by sqrt of 100. Simplifying will get you 10sqrt(-3).

Answer 2

\( \sqrt{-300} = \sqrt{2^2*5^2*3*(-1)} = 2*5*\sqrt{3} \sqrt{-1}=10\sqrt{3}i\)

Answer 3

Should the i be on the outside?

Answer 4

Yes, the i should be, and is on the outside. Unfortunately it is not very clear.

Answer 5

the options for the answers are \[3i \sqrt{10}\] or \[10i \sqrt{3}\]

Answer 6

Which one is equivalent to what Veillant or I gave above?

Answer 7

I have no idea, what do you think?

Answer 8

thanksssss !

Answer 9

Does \( 10i\sqrt{3} = 10\sqrt{3}i \)
or
\( 3i\sqrt{10}=10\sqrt{3}i \) ?

Answer 10

not sureeee

Answer 11

I've always been told when you root a negative, always take the i out. The first thing that came to me to simplify was sqrt3 and sqrt100. If anything, just leave 10isqrt3.

Answer 12

thank you!

Answer 13

No problem!