Question #acf06

1 Answer
Y
Feb 24, 2018

Answer: #5(x+2)^2#

Explanation:

Assuming question is asking for #sqrt(25(x+2)^4)#

By definition of square root, we know that:
#sqrt(p^2)=p#, where #p# is any function

Therefore, applying this definition to the original problem we can see that the original problem can be factored into the form #p^2#:
#sqrt(25(x+2)^4)#
#=sqrt(5*5*(x+2)^2*(x+2)^2)#
#=sqrt(5^2*((x+2)^2)^2)#
#=sqrt((5(x+2)^2)^2)#

Now, we can set our #p# to be #p=5(x+2)^2#, so our answer is
#5(x+2)^2#

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