Issolvi 110/7sqrt{32}

$$1 \frac{ 10 }{ 7 \sqrt{ 32 } }$$

Evalwa

$$\frac{5\sqrt{2}}{28}\approx 0.252538136$$

Passi tas-Soluzzjonijiet

Iffattura 32=4^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{4^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{4^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 4^{2}.

$$1\times \frac{10}{7\times 4\sqrt{2}}$$

Immultiplika 7 u 4 biex tikseb 28.

$$1\times \frac{10}{28\sqrt{2}}$$

Irrazzjonalizza d-denominatur tal-\frac{10}{28\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$1\times \frac{10\sqrt{2}}{28\left(\sqrt{2}\right)^{2}}$$

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

$$1\times \frac{10\sqrt{2}}{28\times 2}$$

Annulla 2 fin-numeratur u d-denominatur.

$$1\times \frac{5\sqrt{2}}{2\times 14}$$

Immultiplika 2 u 14 biex tikseb 28.

$$1\times \frac{5\sqrt{2}}{28}$$

Esprimi 1\times \frac{5\sqrt{2}}{28} bħala frazzjoni waħda.

$$\frac{5\sqrt{2}}{28}$$