Issolvi (5sqrt{3}+sqrt{2})(5sqrt{3}-sqrt{2})

$$( 5 \sqrt { 3 } + \sqrt { 2 } ) ( 5 \sqrt { 3 } - \sqrt { 2 } )$$

Evalwa

$$73$$

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}.

$$\left(5\sqrt{3}\right)^{2}-\left(\sqrt{2}\right)^{2}$$

Espandi \left(5\sqrt{3}\right)^{2}.

$$5^{2}\left(\sqrt{3}\right)^{2}-\left(\sqrt{2}\right)^{2}$$

Ikkalkula 5 bil-power ta' 2 u tikseb 25.

$$25\left(\sqrt{3}\right)^{2}-\left(\sqrt{2}\right)^{2}$$

Il-kwadrat ta' \sqrt{3} huwa 3.

$$25\times 3-\left(\sqrt{2}\right)^{2}$$

Immultiplika 25 u 3 biex tikseb 75.

$$75-\left(\sqrt{2}\right)^{2}$$

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

$$75-2$$

Naqqas 2 minn 75 biex tikseb 73.

$$73$$

Fattur

$$73$$