Issolvi 5/2sqrt{10/3}

$$\frac{ 5 }{ 2 } \sqrt{ \frac{ 10 }{ 3 } }$$

Evalwa

$$\frac{5\sqrt{30}}{6}\approx 4.564354646$$

Passi tas-Soluzzjonijiet

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{10}{3}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{10}}{\sqrt{3}}.

$$\frac{5}{2}\times \frac{\sqrt{10}}{\sqrt{3}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{10}}{\sqrt{3}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{3}.

$$\frac{5}{2}\times \frac{\sqrt{10}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

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

$$\frac{5}{2}\times \frac{\sqrt{10}\sqrt{3}}{3}$$

Biex timmultiplika \sqrt{10} u \sqrt{3}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{5}{2}\times \frac{\sqrt{30}}{3}$$

Immultiplika \frac{5}{2} b'\frac{\sqrt{30}}{3} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{5\sqrt{30}}{2\times 3}$$

Immultiplika 2 u 3 biex tikseb 6.

$$\frac{5\sqrt{30}}{6}$$