How do you simplify $2sqrt(-16/7)$ ?

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Answer 1 · 2015-12-13T22:23:27

$(8sqrt7i)/7$

This can be rewritten as

$2sqrt(-1xx16/7)$

$=2isqrt(16/7)$

$=(2isqrt(16))/sqrt7$

$=(8i)/sqrt7$

$=(8i)/sqrt7(sqrt7/sqrt7)$

$=(8sqrt7i)/7$

Notice that the $i$ is not included in the square root in the final answer.

How do you simplify 2sqrt(-16/7)2sqrt(-16/7)?