Datrys (sqrt{7}+sqrt{3})(sqrt{7}+4sqrt{3})

$$( \sqrt { 7 } + \sqrt { 3 } ) ( \sqrt { 7 } + 4 \sqrt { 3 } )$$

Enrhifo

$$5\sqrt{21}+19\approx 41.912878475$$

Camau Ateb

Cyfrifwch y briodoledd ddosrannol drwy luosi pob \sqrt{7}+\sqrt{3} gan bob \sqrt{7}+4\sqrt{3}.

$$\left(\sqrt{7}\right)^{2}+4\sqrt{7}\sqrt{3}+\sqrt{3}\sqrt{7}+4\left(\sqrt{3}\right)^{2}$$

Sgwâr \sqrt{7} yw 7.

$$7+4\sqrt{7}\sqrt{3}+\sqrt{3}\sqrt{7}+4\left(\sqrt{3}\right)^{2}$$

I luosi \sqrt{7} a \sqrt{3}, dylid lluosi'r rhifau dan yr ail isradd.

$$7+4\sqrt{21}+\sqrt{3}\sqrt{7}+4\left(\sqrt{3}\right)^{2}$$

I luosi \sqrt{3} a \sqrt{7}, dylid lluosi'r rhifau dan yr ail isradd.

$$7+4\sqrt{21}+\sqrt{21}+4\left(\sqrt{3}\right)^{2}$$

Cyfuno 4\sqrt{21} a \sqrt{21} i gael 5\sqrt{21}.

$$7+5\sqrt{21}+4\left(\sqrt{3}\right)^{2}$$

Sgwâr \sqrt{3} yw 3.

$$7+5\sqrt{21}+4\times 3$$

Lluosi 4 a 3 i gael 12.

$$7+5\sqrt{21}+12$$

Adio 7 a 12 i gael 19.

$$19+5\sqrt{21}$$