Issolvi 7/2sqrt{2/3}

$$\frac{ 7 }{ 2 } \sqrt{ \frac{ 2 }{ 3 } }$$

Evalwa

$$\frac{7\sqrt{6}}{6}\approx 2.857738033$$

Passi tas-Soluzzjonijiet

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{2}{3}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{2}}{\sqrt{3}}.

$$\frac{7}{2}\times \frac{\sqrt{2}}{\sqrt{3}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{2}}{\sqrt{3}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{3}.

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

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

$$\frac{7}{2}\times \frac{\sqrt{2}\sqrt{3}}{3}$$

Biex timmultiplika \sqrt{2} u \sqrt{3}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{7}{2}\times \frac{\sqrt{6}}{3}$$

Immultiplika \frac{7}{2} b'\frac{\sqrt{6}}{3} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{7\sqrt{6}}{2\times 3}$$

Immultiplika 2 u 3 biex tikseb 6.

$$\frac{7\sqrt{6}}{6}$$