Issolvi frac{sqrt{6}+sqrt{2}}{4}*frac{sqrt{6}-sqrt{2}}{4}

$$\frac { \sqrt { 6 } + \sqrt { 2 } } { 4 } \times \frac { \sqrt { 6 } - \sqrt { 2 } } { 4 }$$

Evalwa

$$\frac{1}{4}=0.25$$

Passi tas-Soluzzjonijiet

Immultiplika \frac{\sqrt{6}+\sqrt{2}}{4} b'\frac{\sqrt{6}-\sqrt{2}}{4} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\left(\sqrt{6}+\sqrt{2}\right)\left(\sqrt{6}-\sqrt{2}\right)}{4\times 4}$$

Ikkunsidra li \left(\sqrt{6}+\sqrt{2}\right)\left(\sqrt{6}-\sqrt{2}\right). 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}.

$$\frac{\left(\sqrt{6}\right)^{2}-\left(\sqrt{2}\right)^{2}}{4\times 4}$$

Il-kwadrat ta' \sqrt{6} huwa 6.

$$\frac{6-\left(\sqrt{2}\right)^{2}}{4\times 4}$$

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

$$\frac{6-2}{4\times 4}$$

Naqqas 2 minn 6 biex tikseb 4.

$$\frac{4}{4\times 4}$$

Immultiplika 4 u 4 biex tikseb 16.

$$\frac{4}{16}$$

Naqqas il-frazzjoni \frac{4}{16} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

$$\frac{1}{4}$$

Fattur

$$\frac{1}{2 ^ {2}} = 0.25$$