Question

Simplify the given expression.

square root negative 10 open parentheses 11 plus square root negative 5

Answer 1

Can you write it down using the equation option please?

Answer 2

Do you want the explanation or the answer?

Answer 3

Both please :)

Answer 4

Okay the answer is the second one.

Answer 5

and why is that?

Answer 6

\[(\sqrt{-10})(11+\sqrt{-5}) = 11\sqrt{-10}+(\sqrt{-5})(\sqrt{-10}) = 11\sqrt{-10}+ \sqrt{50} = 11\sqrt{-10} +5\sqrt{2} = (11i \sqrt{10} +5\sqrt{2})\]

Answer 7

ooo okay thanks i see it :D

Answer 8

\[11\sqrt{-10} +5\sqrt{2} = 11i \sqrt{10}\]

Answer 9

+ 5 sqrt(2)

Answer 10

Yeah i see what you did

Answer 11

Mind checking over 1 more for me?

Answer 12

Sure :)

Answer 13

Would B, be correct?

Answer 14

No the correct answer is C.

Answer 15

O yeah okay yeah because you have to divide the i so it moves top which makes the fraction a negative

Answer 16

\[(\frac{ 3 }{ 4i }) = (\frac{ 3i }{ 4i^2 }) \]

In this case I timed the numerator and denomintor by i

Answer 17

the i^2 = -1

So it would be -3i/4

Answer 18

yeah i see. user error forgot i had to do that. Thanks so much !! :D

Answer 19

No worries. I think a medal would be a good idea though :DDDDD.

Answer 20

no prob :D

Answer 21

:)

Answer 22

Glad to help.