How do you multiply and simplify #\frac { 5\sqrt { 3} * 3\sqrt { 15} } { 4\sqrt { 5} * 2\sqrt { 75} }#?

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Answer 1 · 2017-05-05T16:26:34

#(5sqrt(3)*3sqrt(15))/(4sqrt(5)*2sqrt(75))=(9sqrt(5))/(8sqrt(15)#

#(5sqrt(3)*3sqrt(15))/(4sqrt(5)*2sqrt(75))#

#=(5*3sqrt(15**3))/(4*2sqrt(75**5)#

#=(5*3sqrt(5*3*3))/(4*2sqrt(5*5*3*5)#

#=(15*sqrt(5*3^2))/(8*sqrt(5*5*3*5)#

#=(15*3*sqrt(5))/(8*sqrt(5*3*5^2)#

#=(15*3*sqrt(5))/(8*5*sqrt(5*3)#

#=(45*sqrt(5))/(40*sqrt(15)#

#=(9*sqrt(5))/(8*sqrt(15)#