Question

cum se face 5 radical din 3 inmultit cu (4 radical din 12 - 2 radical din 27) ?

Answer 1

5√3·(4√12-2√27)=
5√3(4·2√3-2·3√3)=
5√3(8√3-6√3)=
5√3·2√3=10·3=30

Answer 2

[tex]5 \sqrt{3}(4 \sqrt{12} -2 \sqrt{27} )= \\ 12|2 ~~~~~~~~~~~27|3\\ ~~~6|2 ~~~~~~~~~~~~9|3\\ ~~~3|3~~~~~~~~~~~~3|3 \\ \sqrt{12}=2 \sqrt{3} \\ \sqrt{27}=3 \sqrt{3} \\ 5 \sqrt{3}( 4*2 \sqrt{3}-2*3 \sqrt{3})= \\ 5 \sqrt{3}(8 \sqrt{3}-6 \sqrt{3})= \\ 5 \sqrt{3}* 2 \sqrt{3}= \\ 10*( \sqrt{3})^2= \\ 10*3=\boxed{30} [/tex]