Datrys (-5-sqrt{-6})^2

$$( - 5 - \sqrt { - 6 } ) ^ { 2 }$$

Enrhifo (complex solution)

$$19+10\sqrt{6}i\approx 19+24.494897428i$$

Camau Ateb

Ffactora -6=6\left(-1\right). Ailysgrifennu ail isradd y lluoswm \sqrt{6\left(-1\right)} fel lluoswm ail israddau \sqrt{6}\sqrt{-1}. Drwy ddiffiniad, ail isradd -1 yw i.

$$\left(-5-\sqrt{6}i\right)^{2}$$

Lluosi -1 a i i gael -i.

$$\left(-5-i\sqrt{6}\right)^{2}$$

Defnyddio'r theorem binomaidd \left(a+b\right)^{2}=a^{2}+2ab+b^{2} i ehangu'r \left(-5-i\sqrt{6}\right)^{2}.

$$25+10i\sqrt{6}-\left(\sqrt{6}\right)^{2}$$

Sgwâr \sqrt{6} yw 6.

$$25+10i\sqrt{6}-6$$

Tynnu 6 o 25 i gael 19.

$$19+10i\sqrt{6}$$

Ehangu (complex solution)

$$19+10\sqrt{6}i$$

Camau Ateb

Ffactora -6=6\left(-1\right). Ailysgrifennu ail isradd y lluoswm \sqrt{6\left(-1\right)} fel lluoswm ail israddau \sqrt{6}\sqrt{-1}. Drwy ddiffiniad, ail isradd -1 yw i.

$$\left(-5-\sqrt{6}i\right)^{2}$$

Lluosi -1 a i i gael -i.

$$\left(-5-i\sqrt{6}\right)^{2}$$

Defnyddio'r theorem binomaidd \left(a+b\right)^{2}=a^{2}+2ab+b^{2} i ehangu'r \left(-5-i\sqrt{6}\right)^{2}.

$$25+10i\sqrt{6}-\left(\sqrt{6}\right)^{2}$$

Sgwâr \sqrt{6} yw 6.

$$25+10i\sqrt{6}-6$$

Tynnu 6 o 25 i gael 19.

$$19+10i\sqrt{6}$$

Enrhifo

$$\text{Indeterminate}$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(-5-\sqrt{-6}\right)^{2}.

$$25+10\sqrt{-6}+\left(\sqrt{-6}\right)^{2}$$

Cyfrifo \sqrt{-6} i bŵer 2 a chael -6.

$$25+10\sqrt{-6}-6$$

Tynnu 6 o 25 i gael 19.

$$19+10\sqrt{-6}$$