Réitigh sqrt{2*6673*10^-11*4*6*10^24/6400+35780}

$$\sqrt { \frac { 2 \times 6673 \times 10 ^ { - 11 } \times 4 \times 6 \times 10 ^ { 24 } } { 6400 + 35780 } }$$

Luacháil

$$\frac{2000000\sqrt{9382238}}{703}\approx 8714207.427833345$$

Céimeanna Réitigh

Chun cumhachtaí den bhonn céanna a iolrú, suimigh a n-easpónaint. Suimigh -11 agus 24 chun 13 a bhaint amach.

$$\sqrt{\frac{2\times 6673\times 10^{13}\times 4\times 6}{6400+35780}}$$

Méadaigh 2 agus 6673 chun 13346 a fháil.

$$\sqrt{\frac{13346\times 10^{13}\times 4\times 6}{6400+35780}}$$

Ríomh cumhacht 10 de 13 agus faigh 10000000000000.

$$\sqrt{\frac{13346\times 10000000000000\times 4\times 6}{6400+35780}}$$

Méadaigh 13346 agus 10000000000000 chun 133460000000000000 a fháil.

$$\sqrt{\frac{133460000000000000\times 4\times 6}{6400+35780}}$$

Méadaigh 133460000000000000 agus 4 chun 533840000000000000 a fháil.

$$\sqrt{\frac{533840000000000000\times 6}{6400+35780}}$$

Méadaigh 533840000000000000 agus 6 chun 3203040000000000000 a fháil.

$$\sqrt{\frac{3203040000000000000}{6400+35780}}$$

Suimigh 6400 agus 35780 chun 42180 a fháil.

$$\sqrt{\frac{3203040000000000000}{42180}}$$

Laghdaigh an codán \frac{3203040000000000000}{42180} chuig na téarmaí is ísle trí 60 a bhaint agus a chealú.

$$\sqrt{\frac{53384000000000000}{703}}$$

Athscríobh fréamh cearnach na roinnte \sqrt{\frac{53384000000000000}{703}} mar roinnt na bhfréamhacha cearnacha \frac{\sqrt{53384000000000000}}{\sqrt{703}}.

$$\frac{\sqrt{53384000000000000}}{\sqrt{703}}$$

Fachtóirigh 53384000000000000=2000000^{2}\times 13346. Athscríobh fréamh cearnach an toraidh \sqrt{2000000^{2}\times 13346} mar thoradh na bhfréamhacha cearnacha \sqrt{2000000^{2}}\sqrt{13346}. Tóg fréamh chearnach 2000000^{2}.

$$\frac{2000000\sqrt{13346}}{\sqrt{703}}$$

Iolraigh an t-uimhreoir agus an t-ainmneoir faoi \sqrt{703} chun ainmneoir \frac{2000000\sqrt{13346}}{\sqrt{703}} a thiontú in uimhir chóimheasta.

$$\frac{2000000\sqrt{13346}\sqrt{703}}{\left(\sqrt{703}\right)^{2}}$$

Is é 703 uimhir chearnach \sqrt{703}.

$$\frac{2000000\sqrt{13346}\sqrt{703}}{703}$$

Iolraigh na huimhreacha faoin bhfréamh cearnach chun \sqrt{13346} agus \sqrt{703} a iolrú.

$$\frac{2000000\sqrt{9382238}}{703}$$