Issolvi sqrt{(1300*10^6)/8*3986*10^14}6378137

$$\sqrt { \frac { ( 1300 \times 10 ^ { 6 } ) } { 8 \times 3986 \times 10 ^ { 14 } } } 6378137$$

Evalwa

$$\frac{6378137\sqrt{25909}}{7972000}\approx 128.781025456$$

Passi tas-Soluzzjonijiet

Annulla 4\times 10^{6} fin-numeratur u d-denominatur.

$$6378137\sqrt{\frac{325}{2\times 3986\times 10^{8}}}$$

Immultiplika 2 u 3986 biex tikseb 7972.

$$6378137\sqrt{\frac{325}{7972\times 10^{8}}}$$

Ikkalkula 10 bil-power ta' 8 u tikseb 100000000.

$$6378137\sqrt{\frac{325}{7972\times 100000000}}$$

Immultiplika 7972 u 100000000 biex tikseb 797200000000.

$$6378137\sqrt{\frac{325}{797200000000}}$$

Naqqas il-frazzjoni \frac{325}{797200000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 25.

$$6378137\sqrt{\frac{13}{31888000000}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{13}{31888000000}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{13}}{\sqrt{31888000000}}.

$$6378137\times \frac{\sqrt{13}}{\sqrt{31888000000}}$$

Iffattura 31888000000=4000^{2}\times 1993. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{4000^{2}\times 1993} bħala l-prodott tal-għeruq kwadrati \sqrt{4000^{2}}\sqrt{1993}. Ħu l-għerq kwadrat ta' 4000^{2}.

$$6378137\times \frac{\sqrt{13}}{4000\sqrt{1993}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{13}}{4000\sqrt{1993}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{1993}.

$$6378137\times \frac{\sqrt{13}\sqrt{1993}}{4000\left(\sqrt{1993}\right)^{2}}$$

Il-kwadrat ta' \sqrt{1993} huwa 1993.

$$6378137\times \frac{\sqrt{13}\sqrt{1993}}{4000\times 1993}$$

Biex timmultiplika \sqrt{13} u \sqrt{1993}, immultiplika n-numri taħt l-għerq kwadrat.

$$6378137\times \frac{\sqrt{25909}}{4000\times 1993}$$

Immultiplika 4000 u 1993 biex tikseb 7972000.

$$6378137\times \frac{\sqrt{25909}}{7972000}$$

Esprimi 6378137\times \frac{\sqrt{25909}}{7972000} bħala frazzjoni waħda.

$$\frac{6378137\sqrt{25909}}{7972000}$$