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

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

Enrhifo

$$4-9\sqrt{6}\approx -18.045407685$$

Camau Ateb

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

$$5\left(\sqrt{2}\right)^{2}-10\sqrt{3}\sqrt{2}+\sqrt{3}\sqrt{2}-2\left(\sqrt{3}\right)^{2}$$

Sgwâr \sqrt{2} yw 2.

$$5\times 2-10\sqrt{3}\sqrt{2}+\sqrt{3}\sqrt{2}-2\left(\sqrt{3}\right)^{2}$$

Lluosi 5 a 2 i gael 10.

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

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

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

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

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

Cyfuno -10\sqrt{6} a \sqrt{6} i gael -9\sqrt{6}.

$$10-9\sqrt{6}-2\left(\sqrt{3}\right)^{2}$$

Sgwâr \sqrt{3} yw 3.

$$10-9\sqrt{6}-2\times 3$$

Lluosi -2 a 3 i gael -6.

$$10-9\sqrt{6}-6$$

Tynnu 6 o 10 i gael 4.

$$4-9\sqrt{6}$$