Question 1023089
I need to find the answer to the sqrt of -8 ( sqrt -3 - sqrt 5) ugh. I got i sqrt 8 (i sqrt 3- sqrt 5) . Then I tried to simplify and did 4i sqrt 2 (i sqrt 3 - sqrt 5). Then I multiplied it and got 4i^2 sqrt 6 - 4i sqrt 10. Then I subbed i^2 for -1 & ended up with -4 sqrt 6 - 4i sqrt 10. My book says I'm suppose to get -2 sqrt 6 - 2i sqrt 10. Please help
<pre>{{{sqrt(- 8)(sqrt(- 3) - sqrt(5))}}}
{{{sqrt(- 1 * 4 * 2)(sqrt(- 1 * 3) - sqrt(5)))}}}
{{{2i * sqrt(2)(i * sqrt(3) - sqrt(5))}}}
{{{(2i^2 * sqrt(6)) - (2i * sqrt(10))}}}
{{{2(- 1) * sqrt(6) - 2i * sqrt(10))}}}
{{{highlight(highlight_green(highlight(- 2 * sqrt(6) - 2i * sqrt(10)))))}}}

As seen, {{{sqrt(- 8) = sqrt(- 1 * 4 * 2) = 2i * sqrt(2)}}}, not {{{4i * sqrt(2)}}}