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Algebra 14 Online
OpenStudy (empressgeorge):

\sqrt{40x^3}

alones (alones):

\[\sqrt{40x^3}?\]

OpenStudy (empressgeorge):

yes thats the equation, I need to show step by step explanation of how to solve the equation

OpenStudy (sooobored):

what is there to solve? you have an expression not an equation ( no equal sign) the most you could do is simplify the expression

OpenStudy (sooobored):

if you wanted to simplify it first remember that \[\sqrt{x^2} = x\] then break up the value under the sqrt into its prime factors \[\sqrt{ 2* 2 *2 *5 *x*x*x}\]

OpenStudy (sooobored):

group up the respective perfect squares \[\sqrt{(2*2) (x*x)*2*5*x}\]

OpenStudy (sooobored):

apply exponent/root rules \[\sqrt{2*2}\sqrt{x*x}*\sqrt{2*5*x}\] and simplify

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