Issolvi (8sqrt{2}-5)*(10sqrt{2}-6)

$$( 8 \sqrt { 2 } - 5 ) \times ( 10 \sqrt { 2 } - 6 )$$

Evalwa

$$190-98\sqrt{2}\approx 51.407070887$$

Passi tas-Soluzzjonijiet

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' 8\sqrt{2}-5 b'kull terminu ta' 10\sqrt{2}-6.

$$80\left(\sqrt{2}\right)^{2}-48\sqrt{2}-50\sqrt{2}+30$$

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

$$80\times 2-48\sqrt{2}-50\sqrt{2}+30$$

Immultiplika 80 u 2 biex tikseb 160.

$$160-48\sqrt{2}-50\sqrt{2}+30$$

Ikkombina -48\sqrt{2} u -50\sqrt{2} biex tikseb -98\sqrt{2}.

$$160-98\sqrt{2}+30$$

Żid 160 u 30 biex tikseb 190.

$$190-98\sqrt{2}$$

Fattur

$$2 {(95 - 49 \sqrt{2})} = 51.407070887$$