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Mathematics 17 Online
OpenStudy (anonymous):

sqrt{45x^3y^3}

jimthompson5910 (jim_thompson5910):

I'll do this one to show you how to do similar ones Hopefully it will all make sense

jimthompson5910 (jim_thompson5910):

\[\large \sqrt{45x^3y^3} = \sqrt{45x^3y^3}\] \[\large \sqrt{45x^3y^3} = \sqrt{9*5x^3y^3}\] \[\large \sqrt{45x^3y^3} = \sqrt{9*5x^2*x*y^3}\] \[\large \sqrt{45x^3y^3} = \sqrt{9*5x^2*x*y^2*y}\] \[\large \sqrt{45x^3y^3} = \sqrt{9x^2y^2*5xy}\] \[\large \sqrt{45x^3y^3} = \sqrt{9x^2y^2}*\sqrt{5xy}\] \[\large \sqrt{45x^3y^3} = \sqrt{(3xy)^2}*\sqrt{5xy}\] \[\large \sqrt{45x^3y^3} = 3xy\sqrt{5xy}\] Note: this is assuming that both x and y are nonnegative

jimthompson5910 (jim_thompson5910):

feel free to ask any questions

OpenStudy (anonymous):

Thank you so much!!!!!

jimthompson5910 (jim_thompson5910):

yw

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