Question 376623
Take note that {{{sqrt(12)=sqrt(4*3)=sqrt(4)*sqrt(3)=2*sqrt(3)}}}. So {{{sqrt(12)=2*sqrt(3)}}}



Also, notice that {{{sqrt(75)=sqrt(25*3)=sqrt(25)*sqrt(3)=5*sqrt(3)}}}. So {{{sqrt(75)=5*sqrt(3)}}}



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This means that {{{5*sqrt(12)+sqrt(75)=5*2*sqrt(3)+5*sqrt(3)=10*sqrt(3)+5*sqrt(3)=(10+5)*sqrt(3)=15*sqrt(3)}}}



So {{{5*sqrt(12)+sqrt(75)=15*sqrt(3)}}}



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