Question

√12•(√54-√96+√150-√24)-√384•√27/√324=?​

Answer 1

Răspuns:

$8\sqrt{2$

Explicație pas cu pas:

Reducem termeni asemenea si simplificam

$2\sqrt{3}$($3\sqrt{6} - 4\sqrt{6} + 5\sqrt{6} - 2\sqrt{6}$) - $8\sqrt{6 }$ x $\frac{3\sqrt{3} }{18}$

Simplificam si calculam

$2\sqrt{3}$ x $2\sqrt{6}$ - $8\sqrt{6$ x $\frac{\sqrt{3} }{6}$

$4\sqrt{18}$ - $4\sqrt{6}$ x  $\frac{\sqrt{3} }{3}$

$12\sqrt{2}$ - $\frac{4\sqrt{18} }{3}$

$12\sqrt{2}$ - $\frac{12\sqrt{2}}{3}$

$12\sqrt{2}$ - $4\sqrt{2}$ = $8\sqrt{2}$