Issolvi sqrt{(0.8)(0.1)^2/9*10^9}

$$\sqrt { \frac { ( 0.8 ) ( 0.1 ) ^ { 2 } } { 9 \times 10 ^ { 9 } } }$$

Evalwa

$$\frac{\sqrt{2}}{1500000}\approx 0.000000943$$

Passi tas-Soluzzjonijiet

Ikkalkula 0.1 bil-power ta' 2 u tikseb 0.01.

$$\sqrt{\frac{0.8\times 0.01}{9\times 10^{9}}}$$

Immultiplika 0.8 u 0.01 biex tikseb 0.008.

$$\sqrt{\frac{0.008}{9\times 10^{9}}}$$

Ikkalkula 10 bil-power ta' 9 u tikseb 1000000000.

$$\sqrt{\frac{0.008}{9\times 1000000000}}$$

Immultiplika 9 u 1000000000 biex tikseb 9000000000.

$$\sqrt{\frac{0.008}{9000000000}}$$

Espandi \frac{0.008}{9000000000} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'1000.

$$\sqrt{\frac{8}{9000000000000}}$$

Naqqas il-frazzjoni \frac{8}{9000000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 8.

$$\sqrt{\frac{1}{1125000000000}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{1}{1125000000000}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{1}}{\sqrt{1125000000000}}.

$$\frac{\sqrt{1}}{\sqrt{1125000000000}}$$

Ikkalkula l-għerq kwadrat ta' 1 u ikseb 1.

$$\frac{1}{\sqrt{1125000000000}}$$

Iffattura 1125000000000=750000^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{750000^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{750000^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 750000^{2}.

$$\frac{1}{750000\sqrt{2}}$$

Irrazzjonalizza d-denominatur tal-\frac{1}{750000\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$\frac{\sqrt{2}}{750000\left(\sqrt{2}\right)^{2}}$$

Il-kwadrat ta' \sqrt{2} huwa 2.

$$\frac{\sqrt{2}}{750000\times 2}$$

Immultiplika 750000 u 2 biex tikseb 1500000.

$$\frac{\sqrt{2}}{1500000}$$