Issolvi sqrt{667*10^-11*199*10^30/459*10^10}

$$\sqrt { \frac { 667 \times 10 ^ { - 11 } \times 199 \times 10 ^ { 30 } } { 459 \times 10 ^ { 10 } } }$$

Evalwa

$$\frac{10000\sqrt{67693830}}{153}\approx 537753.334938495$$

Passi tas-Soluzzjonijiet

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid -11 u 30 biex tikseb 19.

$$\sqrt{\frac{667\times 10^{19}\times 199}{459\times 10^{10}}}$$

Annulla 10^{10} fin-numeratur u d-denominatur.

$$\sqrt{\frac{199\times 667\times 10^{9}}{459}}$$

Immultiplika 199 u 667 biex tikseb 132733.

$$\sqrt{\frac{132733\times 10^{9}}{459}}$$

Ikkalkula 10 bil-power ta' 9 u tikseb 1000000000.

$$\sqrt{\frac{132733\times 1000000000}{459}}$$

Immultiplika 132733 u 1000000000 biex tikseb 132733000000000.

$$\sqrt{\frac{132733000000000}{459}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{132733000000000}{459}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{132733000000000}}{\sqrt{459}}.

$$\frac{\sqrt{132733000000000}}{\sqrt{459}}$$

Iffattura 132733000000000=10000^{2}\times 1327330. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{10000^{2}\times 1327330} bħala l-prodott tal-għeruq kwadrati \sqrt{10000^{2}}\sqrt{1327330}. Ħu l-għerq kwadrat ta' 10000^{2}.

$$\frac{10000\sqrt{1327330}}{\sqrt{459}}$$

Iffattura 459=3^{2}\times 51. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3^{2}\times 51} bħala l-prodott tal-għeruq kwadrati \sqrt{3^{2}}\sqrt{51}. Ħu l-għerq kwadrat ta' 3^{2}.

$$\frac{10000\sqrt{1327330}}{3\sqrt{51}}$$

Irrazzjonalizza d-denominatur tal-\frac{10000\sqrt{1327330}}{3\sqrt{51}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{51}.

$$\frac{10000\sqrt{1327330}\sqrt{51}}{3\left(\sqrt{51}\right)^{2}}$$

Il-kwadrat ta' \sqrt{51} huwa 51.

$$\frac{10000\sqrt{1327330}\sqrt{51}}{3\times 51}$$

Biex timmultiplika \sqrt{1327330} u \sqrt{51}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{10000\sqrt{67693830}}{3\times 51}$$

Immultiplika 3 u 51 biex tikseb 153.

$$\frac{10000\sqrt{67693830}}{153}$$