Datrys (4sqrt{2}-2sqrt{3})(2sqrt{3}+5sqrt{2})

$$( 4 \sqrt { 2 } - 2 \sqrt { 3 } ) ( 2 \sqrt { 3 } + 5 \sqrt { 2 } )$$

Enrhifo

$$28-2\sqrt{6}\approx 23.101020514$$

Camau Ateb

Cyfrifwch y briodoledd ddosrannol drwy luosi pob 4\sqrt{2}-2\sqrt{3} gan bob 2\sqrt{3}+5\sqrt{2}.

$$8\sqrt{3}\sqrt{2}+20\left(\sqrt{2}\right)^{2}-4\left(\sqrt{3}\right)^{2}-10\sqrt{3}\sqrt{2}$$

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

$$8\sqrt{6}+20\left(\sqrt{2}\right)^{2}-4\left(\sqrt{3}\right)^{2}-10\sqrt{3}\sqrt{2}$$

Sgwâr \sqrt{2} yw 2.

$$8\sqrt{6}+20\times 2-4\left(\sqrt{3}\right)^{2}-10\sqrt{3}\sqrt{2}$$

Lluosi 20 a 2 i gael 40.

$$8\sqrt{6}+40-4\left(\sqrt{3}\right)^{2}-10\sqrt{3}\sqrt{2}$$

Sgwâr \sqrt{3} yw 3.

$$8\sqrt{6}+40-4\times 3-10\sqrt{3}\sqrt{2}$$

Lluosi -4 a 3 i gael -12.

$$8\sqrt{6}+40-12-10\sqrt{3}\sqrt{2}$$

Tynnu 12 o 40 i gael 28.

$$8\sqrt{6}+28-10\sqrt{3}\sqrt{2}$$

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

$$8\sqrt{6}+28-10\sqrt{6}$$

Cyfuno 8\sqrt{6} a -10\sqrt{6} i gael -2\sqrt{6}.

$$-2\sqrt{6}+28$$

Ffactor

$$2 {(14 - \sqrt{6})} = 23.101020514$$