How do you simplify the expression sqrt(-8a^12b^5)?

1 Answer
Gió
Apr 14, 2015

You have a negative square root so you can write:
sqrt(-8a^12b^5)=sqrt(8*(-1)a^12b^5)=
remember that sqrt(x)=x^(1/2)
=2sqrt(2)a^(12/2)b^(5/2)sqrt(-1)
=2sqrt(2)a^6b^(5/2)i
Where i=sqrt(-1) is called immaginary unit.

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