Issolvi sqrt{0.0000509/5}

$$\sqrt { \frac { 0.0000509 } { 5 } }$$

Evalwa

$$\frac{\sqrt{1018}}{10000}\approx 0.003190611$$

Passi tas-Soluzzjonijiet

Espandi \frac{0.0000509}{5} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10000000.

$$\sqrt{\frac{509}{50000000}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{509}{50000000}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{509}}{\sqrt{50000000}}.

$$\frac{\sqrt{509}}{\sqrt{50000000}}$$

Iffattura 50000000=5000^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{5000^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{5000^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 5000^{2}.

$$\frac{\sqrt{509}}{5000\sqrt{2}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{509}}{5000\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$\frac{\sqrt{509}\sqrt{2}}{5000\left(\sqrt{2}\right)^{2}}$$

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

$$\frac{\sqrt{509}\sqrt{2}}{5000\times 2}$$

Biex timmultiplika \sqrt{509} u \sqrt{2}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{\sqrt{1018}}{5000\times 2}$$

Immultiplika 5000 u 2 biex tikseb 10000.

$$\frac{\sqrt{1018}}{10000}$$