Datrys frac{sqrt{-18}}{sqrt{-27}}

$$\frac{ \sqrt{ -18 } }{ \sqrt{ -27 } }$$

Enrhifo (complex solution)

$$\frac{\sqrt{6}}{3}\approx 0.816496581$$

Camau Ateb

Ffactora -18=\left(3i\right)^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{\left(3i\right)^{2}\times 2} fel lluoswm ail israddau \sqrt{\left(3i\right)^{2}}\sqrt{2}. Cymryd isradd \left(3i\right)^{2}.

$$\frac{3i\sqrt{2}}{\sqrt{-27}}$$

Ffactora -27=\left(3i\right)^{2}\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{\left(3i\right)^{2}\times 3} fel lluoswm ail israddau \sqrt{\left(3i\right)^{2}}\sqrt{3}. Cymryd isradd \left(3i\right)^{2}.

$$\frac{3i\sqrt{2}}{3i\sqrt{3}}$$

Er mwyn rhannu pwerau sy’n rhannu’r un sail, tynnwch esbonydd yr enwadur o esbonydd y rhifiadur.

$$\frac{\sqrt{2}}{\sqrt{3}\times \left(3i\right)^{0}}$$

Mae'n rhesymoli enwadur \frac{\sqrt{2}}{\sqrt{3}\times \left(3i\right)^{0}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{3}.

$$\frac{\sqrt{2}\sqrt{3}}{\left(\sqrt{3}\right)^{2}\times \left(3i\right)^{0}}$$

Sgwâr \sqrt{3} yw 3.

$$\frac{\sqrt{2}\sqrt{3}}{3\times \left(3i\right)^{0}}$$

I luosi \sqrt{2} a \sqrt{3}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{\sqrt{6}}{3\times \left(3i\right)^{0}}$$

Cyfrifo 3i i bŵer 0 a chael 1.

$$\frac{\sqrt{6}}{3\times 1}$$

Lluosi 3 a 1 i gael 3.

$$\frac{\sqrt{6}}{3}$$

Rhan Real (complex solution)

$$\frac{\sqrt{6}}{3} = 0.8164965809277259$$

Enrhifo

$$\text{Indeterminate}$$