SOLUTION: Simplify. SQUARE ROOT OF 6st^2 over SQUARE ROOT OF 7s^3t

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Question 178048: Simplify.
SQUARE ROOT OF 6st^2 over SQUARE ROOT OF 7s^3t

Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%286%2As%2At%5E2%29%2Fsqrt%287%2As%5E3%2At%29 Start with the given expression


%28sqrt%286%2As%2At%5E2%29%2Asqrt%287%2As%5E3%2At%29%29%2F%28sqrt%287%2As%5E3%2At%29%2Asqrt%287%2As%5E3%2At%29%29 Multiply the fraction by sqrt%287%2As%5E3%2At%29%2Fsqrt%287%2As%5E3%2At%29


%28sqrt%286%2As%2At%5E2%29%2Asqrt%287%2As%5E3%2At%29%29%2F%287%2As%5E3%2At%29 Multiply the terms in the denominator.


%28sqrt%286%2As%2At%5E2%2A7%2As%5E3%2At%29%29%2F%287%2As%5E3%2At%29 Combine the radicals


%28sqrt%2842%2As%5E4%2At%5E3%29%29%2F%287%2As%5E3%2At%29 Multiply


%28s%5E2t%2Asqrt%2842t%29%29%2F%287%2As%5E3%2At%29 Simplify the square root.


%28sqrt%2842t%29%29%2F%287s%29 Reduce


So sqrt%286%2As%2At%5E2%29%2Fsqrt%287%2As%5E3%2At%29=%28sqrt%2842t%29%29%2F%287s%29 where every variable is positive.