Question 375256


{{{sqrt(100*x^2)}}} Start with the given expression.



{{{sqrt(100)*sqrt(x^2)}}} Break up the square root using the identity {{{sqrt(A*B)=sqrt(A)*sqrt(B)}}}.



{{{10*sqrt(x^2)}}} Take the square root of {{{100}}} to get {{{10}}}.



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



{{{10x}}} Rearrange and multiply the terms.


==================================================


Answer:



So {{{sqrt(100*x^2)}}} simplifies to {{{10x}}}



In other words, {{{sqrt(100*x^2)=10x}}} where x is non-negative.



If you need more help, email me at <a href="mailto:jim_thompson5910@hotmail.com?Subject=Algebra%20Help">jim_thompson5910@hotmail.com</a>


Also, feel free to check out my <a href="http://www.freewebs.com/jimthompson5910/home.html">tutoring website</a>


Jim