Réitigh sqrt{292114*10^36/296*10^-19}

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

Luacháil

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

Céimeanna Réitigh

Cealaigh 2 mar uimhreoir agus ainmneoir.

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

Chun cumhachtaí den bhonn chéanna a roinnt, dealaigh easpónant an ainmneora ó easpónant an uimhreora.

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

Ríomh cumhacht 10 de 55 agus faigh 10000000000000000000000000000000000000000000000000000000.

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

Méadaigh 146057 agus 10000000000000000000000000000000000000000000000000000000 chun 1460570000000000000000000000000000000000000000000000000000000 a fháil.

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

Laghdaigh an codán \frac{1460570000000000000000000000000000000000000000000000000000000}{148} chuig na téarmaí is ísle trí 4 a bhaint agus a chealú.

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

Athscríobh fréamh cearnach na roinnte \sqrt{\frac{365142500000000000000000000000000000000000000000000000000000}{37}} mar roinnt na bhfréamhacha cearnacha \frac{\sqrt{365142500000000000000000000000000000000000000000000000000000}}{\sqrt{37}}.

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

Fachtóirigh 365142500000000000000000000000000000000000000000000000000000=500000000000000000000000000^{2}\times 1460570. Athscríobh fréamh cearnach an toraidh \sqrt{500000000000000000000000000^{2}\times 1460570} mar thoradh na bhfréamhacha cearnacha \sqrt{500000000000000000000000000^{2}}\sqrt{1460570}. Tóg fréamh chearnach 500000000000000000000000000^{2}.

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

Iolraigh an t-uimhreoir agus an t-ainmneoir faoi \sqrt{37} chun ainmneoir \frac{500000000000000000000000000\sqrt{1460570}}{\sqrt{37}} a thiontú in uimhir chóimheasta.

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

Is é 37 uimhir chearnach \sqrt{37}.

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

Iolraigh na huimhreacha faoin bhfréamh cearnach chun \sqrt{1460570} agus \sqrt{37} a iolrú.

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