Răspuns:
13√6-2
Explicație pas cu pas:
[tex]\sqrt{12} =\sqrt{4*3} =2\sqrt{3}[/tex]
[tex]\sqrt{108} =\sqrt{36*3} =6\sqrt{3}[/tex]
(√2+2√12)√3+(2√108-7√2)√2=(√2+2*2√3)√3+(2*6√3-7√2)√2=
(√2+4√3)√3+(12√3-7√2)√2=
√2*√3+4√3*√3+12√3*√2-7√2*√2=
√6+4*3+12√6-7*2=13√6+12-14=13√6-2