Issolvi sqrt{2*16*10^-19*500/91*10^31}

$$\sqrt{ \frac{ 2 \times 16 \times { 10 }^{ -19 } \times 500 }{ 91 \times { 10 }^{ 31 } } }$$

Evalwa

$$\frac{\sqrt{910}}{22750000000000000000000000}\approx 1.325987088 \cdot 10^{-24}$$

Passi tas-Soluzzjonijiet

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

$$\sqrt{\frac{2\times 16\times 500}{91\times 10^{50}}}$$

Immultiplika 2 u 16 biex tikseb 32.

$$\sqrt{\frac{32\times 500}{91\times 10^{50}}}$$

Immultiplika 32 u 500 biex tikseb 16000.

$$\sqrt{\frac{16000}{91\times 10^{50}}}$$

Ikkalkula 10 bil-power ta' 50 u tikseb 100000000000000000000000000000000000000000000000000.

$$\sqrt{\frac{16000}{91\times 100000000000000000000000000000000000000000000000000}}$$

Immultiplika 91 u 100000000000000000000000000000000000000000000000000 biex tikseb 9100000000000000000000000000000000000000000000000000.

$$\sqrt{\frac{16000}{9100000000000000000000000000000000000000000000000000}}$$

Naqqas il-frazzjoni \frac{16000}{9100000000000000000000000000000000000000000000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 16000.

$$\sqrt{\frac{1}{568750000000000000000000000000000000000000000000}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{1}{568750000000000000000000000000000000000000000000}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{1}}{\sqrt{568750000000000000000000000000000000000000000000}}.

$$\frac{\sqrt{1}}{\sqrt{568750000000000000000000000000000000000000000000}}$$

Ikkalkula l-għerq kwadrat ta' 1 u ikseb 1.

$$\frac{1}{\sqrt{568750000000000000000000000000000000000000000000}}$$

Iffattura 568750000000000000000000000000000000000000000000=25000000000000000000000^{2}\times 910. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{25000000000000000000000^{2}\times 910} bħala l-prodott tal-għeruq kwadrati \sqrt{25000000000000000000000^{2}}\sqrt{910}. Ħu l-għerq kwadrat ta' 25000000000000000000000^{2}.

$$\frac{1}{25000000000000000000000\sqrt{910}}$$

Irrazzjonalizza d-denominatur tal-\frac{1}{25000000000000000000000\sqrt{910}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{910}.

$$\frac{\sqrt{910}}{25000000000000000000000\left(\sqrt{910}\right)^{2}}$$

Il-kwadrat ta' \sqrt{910} huwa 910.

$$\frac{\sqrt{910}}{25000000000000000000000\times 910}$$

Immultiplika 25000000000000000000000 u 910 biex tikseb 22750000000000000000000000.

$$\frac{\sqrt{910}}{22750000000000000000000000}$$