Issolvi sqrt{2.92114*10^36/2.96*10^-19}

$$\sqrt{ \frac{ 2.92114 \times { 10 }^{ 36 } }{ 2.96 \times { 10 }^{ -19 } } }$$

Evalwa

$$\frac{50000000000000000000000000\sqrt{5404109}}{37}\approx 3.141451291 \cdot 10^{27}$$

Passi tas-Soluzzjonijiet

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

$$\sqrt{\frac{2.92114\times 10^{55}}{2.96}}$$

Ikkalkula 10 bil-power ta' 55 u tikseb 10000000000000000000000000000000000000000000000000000000.

$$\sqrt{\frac{2.92114\times 10000000000000000000000000000000000000000000000000000000}{2.96}}$$

Immultiplika 2.92114 u 10000000000000000000000000000000000000000000000000000000 biex tikseb 29211400000000000000000000000000000000000000000000000000.

$$\sqrt{\frac{29211400000000000000000000000000000000000000000000000000}{2.96}}$$

Espandi \frac{29211400000000000000000000000000000000000000000000000000}{2.96} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100.

$$\sqrt{\frac{2921140000000000000000000000000000000000000000000000000000}{296}}$$

Naqqas il-frazzjoni \frac{2921140000000000000000000000000000000000000000000000000000}{296} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 8.

$$\sqrt{\frac{365142500000000000000000000000000000000000000000000000000}{37}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{365142500000000000000000000000000000000000000000000000000}{37}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{365142500000000000000000000000000000000000000000000000000}}{\sqrt{37}}.

$$\frac{\sqrt{365142500000000000000000000000000000000000000000000000000}}{\sqrt{37}}$$

Iffattura 365142500000000000000000000000000000000000000000000000000=50000000000000000000000000^{2}\times 146057. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{50000000000000000000000000^{2}\times 146057} bħala l-prodott tal-għeruq kwadrati \sqrt{50000000000000000000000000^{2}}\sqrt{146057}. Ħu l-għerq kwadrat ta' 50000000000000000000000000^{2}.

$$\frac{50000000000000000000000000\sqrt{146057}}{\sqrt{37}}$$

Irrazzjonalizza d-denominatur tal-\frac{50000000000000000000000000\sqrt{146057}}{\sqrt{37}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{37}.

$$\frac{50000000000000000000000000\sqrt{146057}\sqrt{37}}{\left(\sqrt{37}\right)^{2}}$$

Il-kwadrat ta' \sqrt{37} huwa 37.

$$\frac{50000000000000000000000000\sqrt{146057}\sqrt{37}}{37}$$

Biex timmultiplika \sqrt{146057} u \sqrt{37}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{50000000000000000000000000\sqrt{5404109}}{37}$$