Issolvi sqrt{292114*10^36/296*10^-19}

$$\sqrt{ \frac{ 292114 \times { 10 }^{ 36 } }{ 296 \times { 10 }^{ -19 } } }$$

Evalwa

$$\frac{500000000000000000000000000\sqrt{54041090}}{37}\approx 9.934141239 \cdot 10^{28}$$

Passi tas-Soluzzjonijiet

Annulla 2 fin-numeratur u d-denominatur.

$$\sqrt{\frac{146057\times 10^{36}}{148\times 10^{-19}}}$$

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

$$\sqrt{\frac{146057\times 10^{55}}{148}}$$

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

$$\sqrt{\frac{146057\times 10000000000000000000000000000000000000000000000000000000}{148}}$$

Immultiplika 146057 u 10000000000000000000000000000000000000000000000000000000 biex tikseb 1460570000000000000000000000000000000000000000000000000000000.

$$\sqrt{\frac{1460570000000000000000000000000000000000000000000000000000000}{148}}$$

Naqqas il-frazzjoni \frac{1460570000000000000000000000000000000000000000000000000000000}{148} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

$$\sqrt{\frac{365142500000000000000000000000000000000000000000000000000000}{37}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{365142500000000000000000000000000000000000000000000000000000}{37}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{365142500000000000000000000000000000000000000000000000000000}}{\sqrt{37}}.

$$\frac{\sqrt{365142500000000000000000000000000000000000000000000000000000}}{\sqrt{37}}$$

Iffattura 365142500000000000000000000000000000000000000000000000000000=500000000000000000000000000^{2}\times 1460570. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{500000000000000000000000000^{2}\times 1460570} bħala l-prodott tal-għeruq kwadrati \sqrt{500000000000000000000000000^{2}}\sqrt{1460570}. Ħu l-għerq kwadrat ta' 500000000000000000000000000^{2}.

$$\frac{500000000000000000000000000\sqrt{1460570}}{\sqrt{37}}$$

Irrazzjonalizza d-denominatur tal-\frac{500000000000000000000000000\sqrt{1460570}}{\sqrt{37}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{37}.

$$\frac{500000000000000000000000000\sqrt{1460570}\sqrt{37}}{\left(\sqrt{37}\right)^{2}}$$

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

$$\frac{500000000000000000000000000\sqrt{1460570}\sqrt{37}}{37}$$

Biex timmultiplika \sqrt{1460570} u \sqrt{37}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{500000000000000000000000000\sqrt{54041090}}{37}$$