Issolvi (2sqrt{7}-3sqrt{2})(2sqrt{7}+3sqrt{2})=

$$( 2 \sqrt { 7 } - 3 \sqrt { 2 } ) ( 2 \sqrt { 7 } + 3 \sqrt { 2 } ) =$$

Evalwa

$$10$$

Passi tas-Soluzzjonijiet

Il-multiplikazzjoni tista' tiġi ttrasformata fid-differenza tal-kwadrati li jużaw ir-regola: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\left(2\sqrt{7}\right)^{2}-\left(3\sqrt{2}\right)^{2}$$

Espandi \left(2\sqrt{7}\right)^{2}.

$$2^{2}\left(\sqrt{7}\right)^{2}-\left(3\sqrt{2}\right)^{2}$$

Ikkalkula 2 bil-power ta' 2 u tikseb 4.

$$4\left(\sqrt{7}\right)^{2}-\left(3\sqrt{2}\right)^{2}$$

Il-kwadrat ta' \sqrt{7} huwa 7.

$$4\times 7-\left(3\sqrt{2}\right)^{2}$$

Immultiplika 4 u 7 biex tikseb 28.

$$28-\left(3\sqrt{2}\right)^{2}$$

Espandi \left(3\sqrt{2}\right)^{2}.

$$28-3^{2}\left(\sqrt{2}\right)^{2}$$

Ikkalkula 3 bil-power ta' 2 u tikseb 9.

$$28-9\left(\sqrt{2}\right)^{2}$$

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

$$28-9\times 2$$

Immultiplika 9 u 2 biex tikseb 18.

$$28-18$$

Naqqas 18 minn 28 biex tikseb 10.

$$10$$

Fattur

$$2\times 5$$