What is #sqrt((-9)^2)#?

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Answer 1 · 2018-04-11T01:44:37

The result is #9#.

To simplify squares inside radicals, take the absolute value of what is being squared, like this:

#sqrt(x^2)=|x|#

This is because a square root cannot equal a negative number. Here's is your expression:

#color(white)=sqrt((-9)^2)#

#=|-9|#

#=9#

That's the result. You can check using a calculator:

Hope this helped!

Answer 2 · 2018-04-11T01:46:51

#+-9#

#sqrt((-9)^2)#
#=sqrt81#
#=+-9#