Issolvi 533(2)/512(2718)(sqrt{2*314)}

$$\frac{ 533(2) }{ 512(2718)( \sqrt{ 2 \times 314) } }$$

Evalwa

$$\frac{533\sqrt{157}}{218483712}\approx 0.000030567$$

Passi tas-Soluzzjonijiet

Annulla 2 fin-numeratur u d-denominatur.

$$\frac{533}{256\times 2718\sqrt{2\times 314}}$$

Immultiplika 256 u 2718 biex tikseb 695808.

$$\frac{533}{695808\sqrt{2\times 314}}$$

Immultiplika 2 u 314 biex tikseb 628.

$$\frac{533}{695808\sqrt{628}}$$

Iffattura 628=2^{2}\times 157. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 157} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{157}. Ħu l-għerq kwadrat ta' 2^{2}.

$$\frac{533}{695808\times 2\sqrt{157}}$$

Immultiplika 695808 u 2 biex tikseb 1391616.

$$\frac{533}{1391616\sqrt{157}}$$

Irrazzjonalizza d-denominatur tal-\frac{533}{1391616\sqrt{157}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{157}.

$$\frac{533\sqrt{157}}{1391616\left(\sqrt{157}\right)^{2}}$$

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

$$\frac{533\sqrt{157}}{1391616\times 157}$$

Immultiplika 1391616 u 157 biex tikseb 218483712.

$$\frac{533\sqrt{157}}{218483712}$$