Issolvi (3sqrt{2}-4)(sqrt{2}+4)

$$( 3 \sqrt { 2 } - 4 ) ( \sqrt { 2 } + 4 )$$

Evalwa

$$8\sqrt{2}-10\approx 1.313708499$$

Passi tas-Soluzzjonijiet

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' 3\sqrt{2}-4 b'kull terminu ta' \sqrt{2}+4.

$$3\left(\sqrt{2}\right)^{2}+12\sqrt{2}-4\sqrt{2}-16$$

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

$$3\times 2+12\sqrt{2}-4\sqrt{2}-16$$

Immultiplika 3 u 2 biex tikseb 6.

$$6+12\sqrt{2}-4\sqrt{2}-16$$

Ikkombina 12\sqrt{2} u -4\sqrt{2} biex tikseb 8\sqrt{2}.

$$6+8\sqrt{2}-16$$

Naqqas 16 minn 6 biex tikseb -10.

$$-10+8\sqrt{2}$$