Question 78896
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please help me simplify this problem?

{{{sqrt(75*a^2)/sqrt(5)}}}
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The right way to simplify is THIS


    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;{{{sqrt(75*a^2)/sqrt(5)}}} = {{{sqrt(15a^2)}}} = {{{abs(a)*sqrt(15)}}} = {{{sqrt(15)*abs(a)}}}.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>ANSWER</U>



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Solved completely and correctly.



According to commonly accepted agreements about square root, 
the expression &nbsp;' {{{a^2}}} '  &nbsp;always goes from the square root as  &nbsp;|a|, &nbsp;the absolute value of  &nbsp;'a'.


In this form, &nbsp;this transformation works universally for positive and negative values of &nbsp;' a '.


The given problem is a standard &nbsp;TRAP &nbsp;to catch &nbsp;{{{highlight(highlight(millions))}}} &nbsp;of those, &nbsp;who are unfamiliar with this trap for advance.


My post shows and teaches a standard way  to avoid this trap.



As tutor @MathTherapy likes to say, &nbsp;" do not accept any other answer ".