Datrys (3sqrt{2}+2sqrt{3})(3sqrt{2}-4sqrt{3})

$$( 3 \sqrt { 2 } + 2 \sqrt { 3 } ) ( 3 \sqrt { 2 } - 4 \sqrt { 3 } )$$

Enrhifo

$$-6\sqrt{6}-6\approx -20.696938457$$

Camau Ateb

Cyfrifwch y briodoledd ddosrannol drwy luosi pob 3\sqrt{2}+2\sqrt{3} gan bob 3\sqrt{2}-4\sqrt{3}.

$$9\left(\sqrt{2}\right)^{2}-12\sqrt{3}\sqrt{2}+6\sqrt{3}\sqrt{2}-8\left(\sqrt{3}\right)^{2}$$

Sgwâr \sqrt{2} yw 2.

$$9\times 2-12\sqrt{3}\sqrt{2}+6\sqrt{3}\sqrt{2}-8\left(\sqrt{3}\right)^{2}$$

Lluosi 9 a 2 i gael 18.

$$18-12\sqrt{3}\sqrt{2}+6\sqrt{3}\sqrt{2}-8\left(\sqrt{3}\right)^{2}$$

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

$$18-12\sqrt{6}+6\sqrt{3}\sqrt{2}-8\left(\sqrt{3}\right)^{2}$$

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

$$18-12\sqrt{6}+6\sqrt{6}-8\left(\sqrt{3}\right)^{2}$$

Cyfuno -12\sqrt{6} a 6\sqrt{6} i gael -6\sqrt{6}.

$$18-6\sqrt{6}-8\left(\sqrt{3}\right)^{2}$$

Sgwâr \sqrt{3} yw 3.

$$18-6\sqrt{6}-8\times 3$$

Lluosi -8 a 3 i gael -24.

$$18-6\sqrt{6}-24$$

Tynnu 24 o 18 i gael -6.

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

Ffactor

$$6 {(-\sqrt{6} - 1)} = -20.696938457$$