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

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

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Answer 1 · 2015-04-14T04:05:18

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

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