How do you simplify the square root of -24?

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Answer 1 · 2018-06-30T23:19:05

$2isqrt6$

We can rewrite $sqrt(-24)$ as

$sqrt(-1)*sqrt24$

Recall that $i=sqrt(-1)$

We now have

$isqrt24$

We can factor out a perfect square out of $24$ to get

$isqrt4*sqrt6$

$=2isqrt6$

Hope this helps!