(-4square root -5)(-2 Square root 3)

Question

anonymous · Answer

multiply and simplify. assume that all variables represents nonnegative numbers. (-4 Square root -5)(-2 Square root 3)

austinl · Answer

$$-4 \sqrt{-5} \times -2 \sqrt{3}$$

anonymous · Answer

that is correct that Is the problem

austinl · Answer

Ok, so when we have a negative under the square root, what does that mean we will have in the final answer?

anonymous · Answer

a -

austinl · Answer

No, it means we will have an imaginary number. A non-real number.

anonymous · Answer

ok so no I am lost on this

anonymous · Answer

ok so now I am lost on this

austinl · Answer

Ok, the way this would work is you take the numbers outside the square root and multiply them. Can you do that, and what do you get?

anonymous · Answer

-8

austinl · Answer

-2*-4=8
Then you would multiply the numbers under the square roots.

anonymous · Answer

and inside the square root would be 15

austinl · Answer

$$8\sqrt{-15}$$
But you can't have a negative under the square root so we pull it out and put an "i" next to the 8.
$$8i\sqrt{15}$$
This is your final answer.

anonymous · Answer

thank you so much for your help

austinl · Answer

No problem! Not gonna try and be rude here, but it is considered polite to give a medal to a helpful response.

anonymous · Answer

Their you go