Issolvi =frac{-3+6sqrt{2}}{2sqrt{2}}

$$= \frac { - 3 + 6 \sqrt { 2 } } { 2 \sqrt { 2 } }$$

Evalwa

$$-\frac{3\sqrt{2}}{4}+3\approx 1.939339828$$

Passi tas-Soluzzjonijiet

Irrazzjonalizza d-denominatur tal-\frac{-3+6\sqrt{2}}{2\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$\frac{\left(-3+6\sqrt{2}\right)\sqrt{2}}{2\left(\sqrt{2}\right)^{2}}$$

Il-kwadrat ta' \sqrt{2} huwa 2.

$$\frac{\left(-3+6\sqrt{2}\right)\sqrt{2}}{2\times 2}$$

Immultiplika 2 u 2 biex tikseb 4.

$$\frac{\left(-3+6\sqrt{2}\right)\sqrt{2}}{4}$$

Uża l-propjetà distributtiva biex timmultiplika -3+6\sqrt{2} b'\sqrt{2}.

$$\frac{-3\sqrt{2}+6\left(\sqrt{2}\right)^{2}}{4}$$

Il-kwadrat ta' \sqrt{2} huwa 2.

$$\frac{-3\sqrt{2}+6\times 2}{4}$$

Immultiplika 6 u 2 biex tikseb 12.

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

Fattur

$$\frac{3 {(4 - \sqrt{2})}}{4} = 1.9393398282201788$$