Datrys (4sqrt{2}-3sqrt{6})(2sqrt{6}+3sqrt{2})

$$( 4 \sqrt { 2 } - 3 \sqrt { 6 } ) ( 2 \sqrt { 6 } + 3 \sqrt { 2 } )$$

Enrhifo

$$-2\sqrt{3}-12\approx -15.464101615$$

Camau Ateb

Cyfrifwch y briodoledd ddosrannol drwy luosi pob 4\sqrt{2}-3\sqrt{6} gan bob 2\sqrt{6}+3\sqrt{2}.

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

Ffactora 6=2\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{2\times 3} fel lluoswm ail israddau \sqrt{2}\sqrt{3}.

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

Lluosi \sqrt{2} a \sqrt{2} i gael 2.

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

Lluosi 8 a 2 i gael 16.

$$16\sqrt{3}+12\left(\sqrt{2}\right)^{2}-6\left(\sqrt{6}\right)^{2}-9\sqrt{6}\sqrt{2}$$

Sgwâr \sqrt{2} yw 2.

$$16\sqrt{3}+12\times 2-6\left(\sqrt{6}\right)^{2}-9\sqrt{6}\sqrt{2}$$

Lluosi 12 a 2 i gael 24.

$$16\sqrt{3}+24-6\left(\sqrt{6}\right)^{2}-9\sqrt{6}\sqrt{2}$$

Sgwâr \sqrt{6} yw 6.

$$16\sqrt{3}+24-6\times 6-9\sqrt{6}\sqrt{2}$$

Lluosi -6 a 6 i gael -36.

$$16\sqrt{3}+24-36-9\sqrt{6}\sqrt{2}$$

Tynnu 36 o 24 i gael -12.

$$16\sqrt{3}-12-9\sqrt{6}\sqrt{2}$$

Ffactora 6=2\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{2\times 3} fel lluoswm ail israddau \sqrt{2}\sqrt{3}.

$$16\sqrt{3}-12-9\sqrt{2}\sqrt{3}\sqrt{2}$$

Lluosi \sqrt{2} a \sqrt{2} i gael 2.

$$16\sqrt{3}-12-9\times 2\sqrt{3}$$

Lluosi -9 a 2 i gael -18.

$$16\sqrt{3}-12-18\sqrt{3}$$

Cyfuno 16\sqrt{3} a -18\sqrt{3} i gael -2\sqrt{3}.

$$-2\sqrt{3}-12$$

Ffactor

$$2 {(-\sqrt{3} - 6)} = -15.464101615$$