Datrys (-3sqrt{2}+sqrt{3})(-3sqrt{2}+sqrt{3})

$$(-3 \sqrt{ 2 } + \sqrt{ 3 } )(-3 \sqrt{ 2 } + \sqrt{ 3 } )$$

Enrhifo

$$21-6\sqrt{6}\approx 6.303061543$$

Camau Ateb

Lluosi -3\sqrt{2}+\sqrt{3} a -3\sqrt{2}+\sqrt{3} i gael \left(-3\sqrt{2}+\sqrt{3}\right)^{2}.

$$\left(-3\sqrt{2}+\sqrt{3}\right)^{2}$$

Defnyddio'r theorem binomaidd \left(a+b\right)^{2}=a^{2}+2ab+b^{2} i ehangu'r \left(-3\sqrt{2}+\sqrt{3}\right)^{2}.

$$9\left(\sqrt{2}\right)^{2}-6\sqrt{2}\sqrt{3}+\left(\sqrt{3}\right)^{2}$$

Sgwâr \sqrt{2} yw 2.

$$9\times 2-6\sqrt{2}\sqrt{3}+\left(\sqrt{3}\right)^{2}$$

Lluosi 9 a 2 i gael 18.

$$18-6\sqrt{2}\sqrt{3}+\left(\sqrt{3}\right)^{2}$$

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

$$18-6\sqrt{6}+\left(\sqrt{3}\right)^{2}$$

Sgwâr \sqrt{3} yw 3.

$$18-6\sqrt{6}+3$$

Adio 18 a 3 i gael 21.

$$21-6\sqrt{6}$$

Ffactor

$$3 {(7 - 2 \sqrt{6})} = 6.303061543$$