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

Question

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

1 Answer

Impact of this question

1395 views around the world

You can reuse this answer
Creative Commons License

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.

Science

Math

Humanities

... and beyond

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

1 Answer

Related questions

Impact of this question