Issolvi sqrt{4/3*55*10^-9*667*10^-11*314}

$$\sqrt { \frac { 4 } { 3 } \times 55 \times 10 ^ { - 9 } \times 667 \times 10 ^ { - 11 } \times 314 }$$

Evalwa

$$\frac{\sqrt{34557270}}{15000000000}\approx 0.000000392$$

Passi tas-Soluzzjonijiet

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid -9 u -11 biex tikseb -20.

$$\sqrt{\frac{4}{3}\times 55\times 10^{-20}\times 667\times 314}$$

Immultiplika \frac{4}{3} u 55 biex tikseb \frac{220}{3}.

$$\sqrt{\frac{220}{3}\times 10^{-20}\times 667\times 314}$$

Ikkalkula 10 bil-power ta' -20 u tikseb \frac{1}{100000000000000000000}.

$$\sqrt{\frac{220}{3}\times \frac{1}{100000000000000000000}\times 667\times 314}$$

Immultiplika \frac{220}{3} u \frac{1}{100000000000000000000} biex tikseb \frac{11}{15000000000000000000}.

$$\sqrt{\frac{11}{15000000000000000000}\times 667\times 314}$$

Immultiplika \frac{11}{15000000000000000000} u 667 biex tikseb \frac{7337}{15000000000000000000}.

$$\sqrt{\frac{7337}{15000000000000000000}\times 314}$$

Immultiplika \frac{7337}{15000000000000000000} u 314 biex tikseb \frac{1151909}{7500000000000000000}.

$$\sqrt{\frac{1151909}{7500000000000000000}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{1151909}{7500000000000000000}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{1151909}}{\sqrt{7500000000000000000}}.

$$\frac{\sqrt{1151909}}{\sqrt{7500000000000000000}}$$

Iffattura 7500000000000000000=500000000^{2}\times 30. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{500000000^{2}\times 30} bħala l-prodott tal-għeruq kwadrati \sqrt{500000000^{2}}\sqrt{30}. Ħu l-għerq kwadrat ta' 500000000^{2}.

$$\frac{\sqrt{1151909}}{500000000\sqrt{30}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{1151909}}{500000000\sqrt{30}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{30}.

$$\frac{\sqrt{1151909}\sqrt{30}}{500000000\left(\sqrt{30}\right)^{2}}$$

Il-kwadrat ta' \sqrt{30} huwa 30.

$$\frac{\sqrt{1151909}\sqrt{30}}{500000000\times 30}$$

Biex timmultiplika \sqrt{1151909} u \sqrt{30}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{\sqrt{34557270}}{500000000\times 30}$$

Immultiplika 500000000 u 30 biex tikseb 15000000000.

$$\frac{\sqrt{34557270}}{15000000000}$$