Issolvi 1/2sqrt{2/5}

$$\frac { 1 } { 2 } \sqrt { \frac { 2 } { 5 } }$$

Evalwa

$$\frac{\sqrt{10}}{10}\approx 0.316227766$$

Passi tas-Soluzzjonijiet

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{2}{5}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{2}}{\sqrt{5}}.

$$\frac{1}{2}\times \frac{\sqrt{2}}{\sqrt{5}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{2}}{\sqrt{5}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{5}.

$$\frac{1}{2}\times \frac{\sqrt{2}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

Il-kwadrat ta' \sqrt{5} huwa 5.

$$\frac{1}{2}\times \frac{\sqrt{2}\sqrt{5}}{5}$$

Biex timmultiplika \sqrt{2} u \sqrt{5}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{1}{2}\times \frac{\sqrt{10}}{5}$$

Immultiplika \frac{1}{2} b'\frac{\sqrt{10}}{5} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

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

Immultiplika 2 u 5 biex tikseb 10.

$$\frac{\sqrt{10}}{10}$$