Issolvi (1/sqrt{2}*8sqrt{2}*2/3)*1/2

$$( \frac { 1 } { \sqrt { 2 } } \times 8 \sqrt { 2 } \times \frac { 2 } { 3 } ) \times \frac { 1 } { 2 }$$

Evalwa

$$\frac{8}{3}\approx 2.666666667$$

Passi tas-Soluzzjonijiet

Irrazzjonalizza d-denominatur tal-\frac{1}{\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$8\times \frac{\sqrt{2}}{\left(\sqrt{2}\right)^{2}}\sqrt{2}\times \frac{2}{3}\times \frac{1}{2}$$

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

$$8\times \frac{\sqrt{2}}{2}\sqrt{2}\times \frac{2}{3}\times \frac{1}{2}$$

Esprimi 8\times \frac{2}{3} bħala frazzjoni waħda.

$$\frac{8\times 2}{3}\times \frac{\sqrt{2}}{2}\sqrt{2}\times \frac{1}{2}$$

Immultiplika 8 u 2 biex tikseb 16.

$$\frac{16}{3}\times \frac{\sqrt{2}}{2}\sqrt{2}\times \frac{1}{2}$$

Immultiplika \frac{16}{3} b'\frac{1}{2} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{16\times 1}{3\times 2}\times \frac{\sqrt{2}}{2}\sqrt{2}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{16\times 1}{3\times 2}.

$$\frac{16}{6}\times \frac{\sqrt{2}}{2}\sqrt{2}$$

Naqqas il-frazzjoni \frac{16}{6} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{8}{3}\times \frac{\sqrt{2}}{2}\sqrt{2}$$

Immultiplika \frac{8}{3} b'\frac{\sqrt{2}}{2} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{8\sqrt{2}}{3\times 2}\sqrt{2}$$

Annulla 2 fin-numeratur u d-denominatur.

$$\frac{4\sqrt{2}}{3}\sqrt{2}$$

Esprimi \frac{4\sqrt{2}}{3}\sqrt{2} bħala frazzjoni waħda.

$$\frac{4\sqrt{2}\sqrt{2}}{3}$$

Immultiplika \sqrt{2} u \sqrt{2} biex tikseb 2.

$$\frac{4\times 2}{3}$$

Immultiplika 4 u 2 biex tikseb 8.

$$\frac{8}{3}$$

Fattur

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$