Issolvi sqrt{3*6626*10^-34/8*91*10^-28*2*10^14}

$$\sqrt{ \frac{ 3 \times 6626 \times { 10 }^{ -34 } }{ 8 \times 91 \times { 10 }^{ -28 } \times 2 \times { 10 }^{ 14 } } }$$

Evalwa

$$\frac{\sqrt{1808898}}{3640000000000}\approx 3.69492524 \cdot 10^{-10}$$

Passi tas-Soluzzjonijiet

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid -28 u 14 biex tikseb -14.

$$\sqrt{\frac{3\times 6626\times 10^{-34}}{8\times 91\times 10^{-14}\times 2}}$$

Annulla 2 fin-numeratur u d-denominatur.

$$\sqrt{\frac{3\times 3313\times 10^{-34}}{2\times 4\times 91\times 10^{-14}}}$$

Biex tiddividi l-qawwa tal-istess bażi, naqqas l-esponent tan-numeratur mill-esponent tad-denominatur.

$$\sqrt{\frac{3\times 3313}{2\times 4\times 91\times 10^{20}}}$$

Immultiplika 3 u 3313 biex tikseb 9939.

$$\sqrt{\frac{9939}{2\times 4\times 91\times 10^{20}}}$$

Immultiplika 2 u 4 biex tikseb 8.

$$\sqrt{\frac{9939}{8\times 91\times 10^{20}}}$$

Immultiplika 8 u 91 biex tikseb 728.

$$\sqrt{\frac{9939}{728\times 10^{20}}}$$

Ikkalkula 10 bil-power ta' 20 u tikseb 100000000000000000000.

$$\sqrt{\frac{9939}{728\times 100000000000000000000}}$$

Immultiplika 728 u 100000000000000000000 biex tikseb 72800000000000000000000.

$$\sqrt{\frac{9939}{72800000000000000000000}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{9939}{72800000000000000000000}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{9939}}{\sqrt{72800000000000000000000}}.

$$\frac{\sqrt{9939}}{\sqrt{72800000000000000000000}}$$

Iffattura 72800000000000000000000=20000000000^{2}\times 182. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{20000000000^{2}\times 182} bħala l-prodott tal-għeruq kwadrati \sqrt{20000000000^{2}}\sqrt{182}. Ħu l-għerq kwadrat ta' 20000000000^{2}.

$$\frac{\sqrt{9939}}{20000000000\sqrt{182}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{9939}}{20000000000\sqrt{182}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{182}.

$$\frac{\sqrt{9939}\sqrt{182}}{20000000000\left(\sqrt{182}\right)^{2}}$$

Il-kwadrat ta' \sqrt{182} huwa 182.

$$\frac{\sqrt{9939}\sqrt{182}}{20000000000\times 182}$$

Biex timmultiplika \sqrt{9939} u \sqrt{182}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{\sqrt{1808898}}{20000000000\times 182}$$

Immultiplika 20000000000 u 182 biex tikseb 3640000000000.

$$\frac{\sqrt{1808898}}{3640000000000}$$