Issolvi 5sqrt{-1/5}

$$5 \sqrt{ - \frac{ 1 }{ 5 } }$$

Evalwa (complex solution)

$$\sqrt{5}i\approx 2.236067977i$$

Passi tas-Soluzzjonijiet

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{-\frac{1}{5}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{-1}}{\sqrt{5}}.

$$5\times \frac{\sqrt{-1}}{\sqrt{5}}$$

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

$$5\times \frac{i}{\sqrt{5}}$$

Irrazzjonalizza d-denominatur tal-\frac{i}{\sqrt{5}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{5}.

$$5\times \frac{i\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

Il-kwadrat ta' \sqrt{5} huwa 5.

$$5\times \frac{i\sqrt{5}}{5}$$

Iddividi i\sqrt{5} b'5 biex tikseb\frac{1}{5}i\sqrt{5}.

$$5\times \left(\frac{1}{5}i\right)\sqrt{5}$$

Immultiplika 5 u \frac{1}{5}i biex tikseb i.

$$i\sqrt{5}$$

Parti Reali (complex solution)

$$0$$

Evalwa

$$\text{Indeterminate}$$