Issolvi sqrt{9.8*6.4*10^6/3.6}

$$\sqrt { \frac { 9.8 \times 6.4 \times 10 ^ { 6 } } { 3.6 } }$$

Evalwa

$$\frac{5600\sqrt{5}}{3}\approx 4173.993558$$

Passi tas-Soluzzjonijiet

Immultiplika 9.8 u 6.4 biex tikseb 62.72.

$$\sqrt{\frac{62.72\times 10^{6}}{3.6}}$$

Ikkalkula 10 bil-power ta' 6 u tikseb 1000000.

$$\sqrt{\frac{62.72\times 1000000}{3.6}}$$

Immultiplika 62.72 u 1000000 biex tikseb 62720000.

$$\sqrt{\frac{62720000}{3.6}}$$

Espandi \frac{62720000}{3.6} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10.

$$\sqrt{\frac{627200000}{36}}$$

Naqqas il-frazzjoni \frac{627200000}{36} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

$$\sqrt{\frac{156800000}{9}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{156800000}{9}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{156800000}}{\sqrt{9}}.

$$\frac{\sqrt{156800000}}{\sqrt{9}}$$

Iffattura 156800000=5600^{2}\times 5. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{5600^{2}\times 5} bħala l-prodott tal-għeruq kwadrati \sqrt{5600^{2}}\sqrt{5}. Ħu l-għerq kwadrat ta' 5600^{2}.

$$\frac{5600\sqrt{5}}{\sqrt{9}}$$

Ikkalkula l-għerq kwadrat ta' 9 u ikseb 3.

$$\frac{5600\sqrt{5}}{3}$$