Issolvi 0802+10sqrt{13/8400}

$$0802+10 \sqrt{ \frac{ 13 }{ 8400 } }$$

Evalwa

$$\frac{\sqrt{273}}{42}\approx 0.393397896$$

Passi tas-Soluzzjonijiet

Immultiplika 0 u 802 biex tikseb 0.

$$0+10\sqrt{\frac{13}{8400}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{13}{8400}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{13}}{\sqrt{8400}}.

$$0+10\times \frac{\sqrt{13}}{\sqrt{8400}}$$

Iffattura 8400=20^{2}\times 21. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{20^{2}\times 21} bħala l-prodott tal-għeruq kwadrati \sqrt{20^{2}}\sqrt{21}. Ħu l-għerq kwadrat ta' 20^{2}.

$$0+10\times \frac{\sqrt{13}}{20\sqrt{21}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{13}}{20\sqrt{21}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{21}.

$$0+10\times \frac{\sqrt{13}\sqrt{21}}{20\left(\sqrt{21}\right)^{2}}$$

Il-kwadrat ta' \sqrt{21} huwa 21.

$$0+10\times \frac{\sqrt{13}\sqrt{21}}{20\times 21}$$

Biex timmultiplika \sqrt{13} u \sqrt{21}, immultiplika n-numri taħt l-għerq kwadrat.

$$0+10\times \frac{\sqrt{273}}{20\times 21}$$

Immultiplika 20 u 21 biex tikseb 420.

$$0+10\times \frac{\sqrt{273}}{420}$$

Ikkanċella l-akbar fattur komuni 420 f'10 u 420.

$$0+\frac{\sqrt{273}}{42}$$

Xi ħaġa plus żero jirriżulta f'dan in-numru stess.

$$\frac{\sqrt{273}}{42}$$