Question

Is the square root of negative 4/9 a positive or negative number?

Answer 1

neither. imaginary numbers do not get an adjective "positive" or "negative"

Answer 2

so what do i put as my answer? 2/3 is my answer but when square rooted from 4/9 there is a negative sign in front of it.
so whats my answer?

Answer 3

\[-\sqrt{\frac{4}{9}}=-\frac{2}{3}\]

Answer 4

based off the last problem, this is what I'm guessing the expression is

Answer 5

i read it is
\[\sqrt{-\frac{9}{4}}\]

Answer 6

which will give you
\[\frac{3}{2}i\] neither positive nor negative

Answer 7

yes jim. thats the problem.

Answer 8

really depends on what it looks like originally. you wrote
the square root of negative 4/9

Answer 9

ooooooooooh ok ignore me. jim has it

Answer 10

ok thx, in the future to say \[-\sqrt{\frac{4}{9}}\] say "negative square root of 4/9"

Answer 11

sorry. i dont have the symbols on my keyboard

Answer 12

since "square root of negative 4/9" means \[\large \sqrt{-\frac{4}{9}}\]

Answer 13

or "minus the square root of 4/9" put the "minus" or "negative" before the root

Answer 14

it would be a complex number, you can't square root negatives so you have to bring in imaginary numbers:

\[\sqrt{-4/9}\] = \[\sqrt{-4}\div \sqrt{9}\]

make the \[\sqrt{-4} = \sqrt{-1}*\sqrt{4} = 2i\]
so \[2i/\sqrt{9}\]

thats 2i/3 - a complex number

Answer 15

probably best to just draw it out next time since that worked

Answer 16

thank you jim. your answer worked best for me.

Answer 17

yw