Răspuns :
[tex]2\sqrt{27} +5\sqrt{12} =2*3\sqrt{3} +5*2\sqrt{3} =[/tex]
[tex]6\sqrt{3} +10\sqrt{3} =16\sqrt{3}[/tex]
27|3 12|2
9|3 6|2
3|3 3|3
1 1
27=3·3·3=3³⇒√27=√3³=√3²·3=3√3
12=2·2·3=2²·3⇒√12=√2²·3=2√3
[tex]2\sqrt{27} +5\sqrt{12} =2*3\sqrt{3} +5*2\sqrt{3} =[/tex]
[tex]6\sqrt{3} +10\sqrt{3} =16\sqrt{3}[/tex]
27|3 12|2
9|3 6|2
3|3 3|3
1 1
27=3·3·3=3³⇒√27=√3³=√3²·3=3√3
12=2·2·3=2²·3⇒√12=√2²·3=2√3