Issolvi 8/sqrt{2*314*900}

$$\frac{ 8 }{ \sqrt{ 2 \times 314 \times 900 } }$$

Evalwa

$$\frac{2\sqrt{157}}{2355}\approx 0.010641158$$

Passi tas-Soluzzjonijiet

Immultiplika 2 u 314 biex tikseb 628.

$$\frac{8}{\sqrt{628\times 900}}$$

Immultiplika 628 u 900 biex tikseb 565200.

$$\frac{8}{\sqrt{565200}}$$

Iffattura 565200=60^{2}\times 157. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{60^{2}\times 157} bħala l-prodott tal-għeruq kwadrati \sqrt{60^{2}}\sqrt{157}. Ħu l-għerq kwadrat ta' 60^{2}.

$$\frac{8}{60\sqrt{157}}$$

Irrazzjonalizza d-denominatur tal-\frac{8}{60\sqrt{157}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{157}.

$$\frac{8\sqrt{157}}{60\left(\sqrt{157}\right)^{2}}$$

Il-kwadrat ta' \sqrt{157} huwa 157.

$$\frac{8\sqrt{157}}{60\times 157}$$

Annulla 4 fin-numeratur u d-denominatur.

$$\frac{2\sqrt{157}}{15\times 157}$$

Immultiplika 15 u 157 biex tikseb 2355.

$$\frac{2\sqrt{157}}{2355}$$