Question

(√2 + 2√`12) √3 + (2√108 - 7 √2) √2 =

Answer 1

Răspuns:

13√6-2

Explicație pas cu pas:

$\sqrt{12} =\sqrt{4*3} =2\sqrt{3}$

$\sqrt{108} =\sqrt{36*3} =6\sqrt{3}$

(√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