Datrys 1/2sqrt{-4}+2/5sqrt{-9}-1/3sqrt{-25}

$$\frac { 1 } { 2 } \sqrt { - 4 } + \frac { 2 } { 5 } \sqrt { - 9 } - \frac { 1 } { 3 } \sqrt { - 25 }$$

Enrhifo (complex solution)

$$\frac{8}{15}i\approx 0.533333333i$$

Camau Ateb

Cyfrifo ail isradd -4 a chael 2i.

$$\frac{1}{2}\times \left(2i\right)+\frac{2}{5}\sqrt{-9}-\frac{1}{3}\sqrt{-25}$$

Lluosi \frac{1}{2} a 2i i gael i.

$$i+\frac{2}{5}\sqrt{-9}-\frac{1}{3}\sqrt{-25}$$

Cyfrifo ail isradd -9 a chael 3i.

$$i+\frac{2}{5}\times \left(3i\right)-\frac{1}{3}\sqrt{-25}$$

Lluosi \frac{2}{5} a 3i i gael \frac{6}{5}i.

$$i+\frac{6}{5}i-\frac{1}{3}\sqrt{-25}$$

Adio i a \frac{6}{5}i i gael \frac{11}{5}i.

$$\frac{11}{5}i-\frac{1}{3}\sqrt{-25}$$

Cyfrifo ail isradd -25 a chael 5i.

$$\frac{11}{5}i-\frac{1}{3}\times \left(5i\right)$$

Lluosi -\frac{1}{3} a 5i i gael -\frac{5}{3}i.

$$\frac{11}{5}i-\frac{5}{3}i$$

Tynnu \frac{5}{3}i o \frac{11}{5}i i gael \frac{8}{15}i.

$$\frac{8}{15}i$$

Rhan Real (complex solution)

$$0$$

Camau Ateb

Cyfrifo ail isradd -4 a chael 2i.

$$Re(\frac{1}{2}\times \left(2i\right)+\frac{2}{5}\sqrt{-9}-\frac{1}{3}\sqrt{-25})$$

Lluosi \frac{1}{2} a 2i i gael i.

$$Re(i+\frac{2}{5}\sqrt{-9}-\frac{1}{3}\sqrt{-25})$$

Cyfrifo ail isradd -9 a chael 3i.

$$Re(i+\frac{2}{5}\times \left(3i\right)-\frac{1}{3}\sqrt{-25})$$

Lluosi \frac{2}{5} a 3i i gael \frac{6}{5}i.

$$Re(i+\frac{6}{5}i-\frac{1}{3}\sqrt{-25})$$

Adio i a \frac{6}{5}i i gael \frac{11}{5}i.

$$Re(\frac{11}{5}i-\frac{1}{3}\sqrt{-25})$$

Cyfrifo ail isradd -25 a chael 5i.

$$Re(\frac{11}{5}i-\frac{1}{3}\times \left(5i\right))$$

Lluosi -\frac{1}{3} a 5i i gael -\frac{5}{3}i.

$$Re(\frac{11}{5}i-\frac{5}{3}i)$$

Tynnu \frac{5}{3}i o \frac{11}{5}i i gael \frac{8}{15}i.

$$Re(\frac{8}{15}i)$$

Rhan real \frac{8}{15}i yw 0.

$$0$$

Enrhifo

$$\text{Indeterminate}$$