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

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

Evalwa

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

Passi tas-Soluzzjonijiet

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid -11 u 24 biex tikseb 13.

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

Immultiplika 2 u 6673 biex tikseb 13346.

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

Ikkalkula 10 bil-power ta' 13 u tikseb 10000000000000.

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

Immultiplika 13346 u 10000000000000 biex tikseb 133460000000000000.

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

Immultiplika 133460000000000000 u 4 biex tikseb 533840000000000000.

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

Immultiplika 533840000000000000 u 6 biex tikseb 3203040000000000000.

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

Żid 6400 u 35780 biex tikseb 42180.

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

Naqqas il-frazzjoni \frac{3203040000000000000}{42180} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 60.

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

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{53384000000000000}{703}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{53384000000000000}}{\sqrt{703}}.

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

Iffattura 53384000000000000=2000000^{2}\times 13346. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2000000^{2}\times 13346} bħala l-prodott tal-għeruq kwadrati \sqrt{2000000^{2}}\sqrt{13346}. Ħu l-għerq kwadrat ta' 2000000^{2}.

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

Irrazzjonalizza d-denominatur tal-\frac{2000000\sqrt{13346}}{\sqrt{703}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{703}.

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

Il-kwadrat ta' \sqrt{703} huwa 703.

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

Biex timmultiplika \sqrt{13346} u \sqrt{703}, immultiplika n-numri taħt l-għerq kwadrat.

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