Question

calculati
$\sqrt{17 - 12 \sqrt{2} }$
​

Answer 1

Răspuns:  $\boxed{\bf 3 -2\sqrt{2}}$

Salutare!

$\bf \sqrt{17-12\sqrt{2}} =$

$\bf \sqrt{9 + 8-12\sqrt{2}} =$

$\bf \sqrt{3^{2} -12\sqrt{2}+8} =$

$\bf \sqrt{3^{2} -2\cdot 3\cdot2\sqrt{2}+(2\sqrt{2})^{2}} =$

$\bf \sqrt{(3 -2\sqrt{2})^{2}} =$

$\bf |(3 -2\sqrt{2}|=$ $\boxed{\bf 3 -2\sqrt{2}}$

• am folosit formula de calcul prescurtat: a² - 2·a·b + b² = (a - b)² pentru a scoate de sun radical.

Mult succes!

==pav38==