Issolvi 1/2*frac{sqrt{26}+sqrt{6}}{2}*frac{sqrt{26}-sqrt{6}}{2}

$$\frac { 1 } { 2 } \times \frac { \sqrt { 26 } + \sqrt { 6 } } { 2 } \times \frac { \sqrt { 26 } - \sqrt { 6 } } { 2 }$$

Evalwa

$$\frac{5}{2}=2.5$$

Passi tas-Soluzzjonijiet

Immultiplika \frac{1}{2} b'\frac{\sqrt{26}+\sqrt{6}}{2} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\sqrt{26}+\sqrt{6}}{2\times 2}\times \frac{\sqrt{26}-\sqrt{6}}{2}$$

Immultiplika \frac{\sqrt{26}+\sqrt{6}}{2\times 2} b'\frac{\sqrt{26}-\sqrt{6}}{2} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\left(\sqrt{26}+\sqrt{6}\right)\left(\sqrt{26}-\sqrt{6}\right)}{2\times 2\times 2}$$

Ikkunsidra li \left(\sqrt{26}+\sqrt{6}\right)\left(\sqrt{26}-\sqrt{6}\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}.

$$\frac{\left(\sqrt{26}\right)^{2}-\left(\sqrt{6}\right)^{2}}{2\times 2\times 2}$$

Il-kwadrat ta' \sqrt{26} huwa 26.

$$\frac{26-\left(\sqrt{6}\right)^{2}}{2\times 2\times 2}$$

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

$$\frac{26-6}{2\times 2\times 2}$$

Naqqas 6 minn 26 biex tikseb 20.

$$\frac{20}{2\times 2\times 2}$$

Immultiplika 2 u 2 biex tikseb 4.

$$\frac{20}{4\times 2}$$

Immultiplika 4 u 2 biex tikseb 8.

$$\frac{20}{8}$$

Naqqas il-frazzjoni \frac{20}{8} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

$$\frac{5}{2}$$

Fattur

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$