Question

How do you simplify: the square root of -500?

Answer 1

`10isqrt5`

Explanation:

`sqrt(-500)=sqrt(100*-5)`

Recalling that `sqrt(a*b)=sqrtasqrtb,` we obtain

`sqrt(100)*sqrt(-5)=10sqrt(-5)`

`10sqrt(-5)=10sqrt(-1)sqrt(5)`

`i=sqrt(-1),` so we may rewrite as

`10isqrt5`