Issolvi (isqrt{2}-1)(2isqrt{2}+3)

$$( i \sqrt { 2 } - 1 ) ( 2 i \sqrt { 2 } + 3 )$$

Evalwa

$$-7+\sqrt{2}i\approx -7+1.414213562i$$

Passi tas-Soluzzjonijiet

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' i\sqrt{2}-1 b'kull terminu ta' 2i\sqrt{2}+3.

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

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

$$-2\times 2+3i\sqrt{2}-2i\sqrt{2}-3$$

Immultiplika -2 u 2 biex tikseb -4.

$$-4+3i\sqrt{2}-2i\sqrt{2}-3$$

Ikkombina 3i\sqrt{2} u -2i\sqrt{2} biex tikseb i\sqrt{2}.

$$-4+i\sqrt{2}-3$$

Naqqas 3 minn -4 biex tikseb -7.

$$-7+i\sqrt{2}$$

Parti Reali

$$-7$$