Question 309877
I'll do the first one to get you started.




{{{sqrt(256*x^2)}}} Start with the given expression.



{{{sqrt(256)*sqrt(x^2)}}} Break up the square root using the identity {{{sqrt(A*B)=sqrt(A)*sqrt(B)}}}.



{{{16*sqrt(x^2)}}} Take the square root of {{{256}}} to get {{{16}}}.



{{{16x}}} Take the square root of {{{x^2}}} to get {{{x}}}.


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Answer:



So {{{sqrt(256*x^2)}}} simplifies to {{{16x}}}



In other words, {{{sqrt(256*x^2)=16x}}} where {{{x>=0}}}