Issolvi sqrt{2*1.6*10^-19*500/9.1*10^-31}

$$\sqrt{ \frac{ 2 \cdot 1.6 \times { 10 }^{ -19 } \times 500 }{ 9.1 \times { 10 }^{ -31 } } }$$

Evalwa

$$\frac{40000000\sqrt{910}}{91}\approx 13259870.882635918$$

Passi tas-Soluzzjonijiet

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

$$\sqrt{\frac{1.6\times 2\times 500\times 10^{12}}{9.1}}$$

Immultiplika 1.6 u 2 biex tikseb 3.2.

$$\sqrt{\frac{3.2\times 500\times 10^{12}}{9.1}}$$

Immultiplika 3.2 u 500 biex tikseb 1600.

$$\sqrt{\frac{1600\times 10^{12}}{9.1}}$$

Ikkalkula 10 bil-power ta' 12 u tikseb 1000000000000.

$$\sqrt{\frac{1600\times 1000000000000}{9.1}}$$

Immultiplika 1600 u 1000000000000 biex tikseb 1600000000000000.

$$\sqrt{\frac{1600000000000000}{9.1}}$$

Espandi \frac{1600000000000000}{9.1} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10.

$$\sqrt{\frac{16000000000000000}{91}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{16000000000000000}{91}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{16000000000000000}}{\sqrt{91}}.

$$\frac{\sqrt{16000000000000000}}{\sqrt{91}}$$

Iffattura 16000000000000000=40000000^{2}\times 10. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{40000000^{2}\times 10} bħala l-prodott tal-għeruq kwadrati \sqrt{40000000^{2}}\sqrt{10}. Ħu l-għerq kwadrat ta' 40000000^{2}.

$$\frac{40000000\sqrt{10}}{\sqrt{91}}$$

Irrazzjonalizza d-denominatur tal-\frac{40000000\sqrt{10}}{\sqrt{91}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{91}.

$$\frac{40000000\sqrt{10}\sqrt{91}}{\left(\sqrt{91}\right)^{2}}$$

Il-kwadrat ta' \sqrt{91} huwa 91.

$$\frac{40000000\sqrt{10}\sqrt{91}}{91}$$

Biex timmultiplika \sqrt{10} u \sqrt{91}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{40000000\sqrt{910}}{91}$$