Issolvi 1/-sqrt{-75}

$$\frac { 1 } { - \sqrt { - 75 } }$$

Evalwa (complex solution)

$$\frac{\sqrt{3}i}{15}\approx 0.115470054i$$

Passi tas-Soluzzjonijiet

Iffattura -75=\left(5i\right)^{2}\times 3. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{\left(5i\right)^{2}\times 3} bħala l-prodott tal-għeruq kwadrati \sqrt{\left(5i\right)^{2}}\sqrt{3}. Ħu l-għerq kwadrat ta' \left(5i\right)^{2}.

$$\frac{1}{-5i\sqrt{3}}$$

Irrazzjonalizza d-denominatur tal-\frac{1}{-5i\sqrt{3}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{3}.

$$\frac{\sqrt{3}}{-5i\left(\sqrt{3}\right)^{2}}$$

Il-kwadrat ta' \sqrt{3} huwa 3.

$$\frac{\sqrt{3}}{-5i\times 3}$$

Immultiplika -5i u 3 biex tikseb -15i.

$$\frac{\sqrt{3}}{-15i}$$

Parti Reali (complex solution)

$$0$$

Evalwa

$$\text{Indeterminate}$$