Issolvi sqrt{6,607*10^-11*5,98*10^24/900+6378}

$$\sqrt { \frac { 6,607 \cdot 10 ^ { - 11 } \cdot 5,98 \cdot 10 ^ { 24 } } { 900 + 6378 } }$$

Evalwa

$$\frac{200000\sqrt{1100755045}}{1213}\approx 5470342.734145545$$

Passi tas-Soluzzjonijiet

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid -11 u 24 biex tikseb 13.

$$\sqrt{\frac{6\times 607\times 10^{13}\times 5.98}{900+6378}}$$

Immultiplika 6 u 607 biex tikseb 3642.

$$\sqrt{\frac{3642\times 10^{13}\times 5.98}{900+6378}}$$

Ikkalkula 10 bil-power ta' 13 u tikseb 10000000000000.

$$\sqrt{\frac{3642\times 10000000000000\times 5.98}{900+6378}}$$

Immultiplika 3642 u 10000000000000 biex tikseb 36420000000000000.

$$\sqrt{\frac{36420000000000000\times 5.98}{900+6378}}$$

Immultiplika 36420000000000000 u 5.98 biex tikseb 217791600000000000.

$$\sqrt{\frac{217791600000000000}{900+6378}}$$

Żid 900 u 6378 biex tikseb 7278.

$$\sqrt{\frac{217791600000000000}{7278}}$$

Naqqas il-frazzjoni \frac{217791600000000000}{7278} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 6.

$$\sqrt{\frac{36298600000000000}{1213}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{36298600000000000}{1213}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{36298600000000000}}{\sqrt{1213}}.

$$\frac{\sqrt{36298600000000000}}{\sqrt{1213}}$$

Iffattura 36298600000000000=200000^{2}\times 907465. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{200000^{2}\times 907465} bħala l-prodott tal-għeruq kwadrati \sqrt{200000^{2}}\sqrt{907465}. Ħu l-għerq kwadrat ta' 200000^{2}.

$$\frac{200000\sqrt{907465}}{\sqrt{1213}}$$

Irrazzjonalizza d-denominatur tal-\frac{200000\sqrt{907465}}{\sqrt{1213}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{1213}.

$$\frac{200000\sqrt{907465}\sqrt{1213}}{\left(\sqrt{1213}\right)^{2}}$$

Il-kwadrat ta' \sqrt{1213} huwa 1213.

$$\frac{200000\sqrt{907465}\sqrt{1213}}{1213}$$

Biex timmultiplika \sqrt{907465} u \sqrt{1213}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{200000\sqrt{1100755045}}{1213}$$