Question 114449
{{{ sqrt( 4/5 ) }}} Start with the given expression



{{{ sqrt( 4)/sqrt(5 ) }}} Break up the square root



{{{ 2/sqrt(5 ) }}} Take the square root of 4 to get 2



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{{{ 40 sqrt( 18x^2/5 ) }}} Start with the given expression


{{{ 40*sqrt( 18)sqrt(x^2)/sqrt(5 ) }}} Break up the square root



{{{ 40*sqrt( 9)*sqrt(2)sqrt(x^2)/sqrt(5 ) }}} Factor 18 into 9*2 and break up that root



{{{ 40*3*sqrt(2)x/sqrt(5 ) }}} Take the square root of the perfect squares




{{{ 120x*sqrt(2)/sqrt(5 ) }}} Multiply