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

1 Answer
VNVDVI
Apr 15, 2018

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

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