Datrys frac{sqrt{56^2-46^2}}{0,25*sqrt{10}}

$$\frac { \sqrt { 56 ^ { 2 } - 46 ^ { 2 } } } { 0,25 \cdot \sqrt { 10 } }$$

Enrhifo

$$4\sqrt{102}\approx 40.398019753$$

Camau Ateb

Cyfrifo 56 i bŵer 2 a chael 3136.

$$\frac{\sqrt{3136-46^{2}}}{0.25\sqrt{10}}$$

Cyfrifo 46 i bŵer 2 a chael 2116.

$$\frac{\sqrt{3136-2116}}{0.25\sqrt{10}}$$

Tynnu 2116 o 3136 i gael 1020.

$$\frac{\sqrt{1020}}{0.25\sqrt{10}}$$

Ffactora 1020=2^{2}\times 255. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 255} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{255}. Cymryd isradd 2^{2}.

$$\frac{2\sqrt{255}}{0.25\sqrt{10}}$$

Mae'n rhesymoli enwadur \frac{2\sqrt{255}}{0.25\sqrt{10}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{10}.

$$\frac{2\sqrt{255}\sqrt{10}}{0.25\left(\sqrt{10}\right)^{2}}$$

Sgwâr \sqrt{10} yw 10.

$$\frac{2\sqrt{255}\sqrt{10}}{0.25\times 10}$$

I luosi \sqrt{255} a \sqrt{10}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{2\sqrt{2550}}{0.25\times 10}$$

Lluosi 0.25 a 10 i gael 2.5.

$$\frac{2\sqrt{2550}}{2.5}$$

Ffactora 2550=5^{2}\times 102. Ailysgrifennu ail isradd y lluoswm \sqrt{5^{2}\times 102} fel lluoswm ail israddau \sqrt{5^{2}}\sqrt{102}. Cymryd isradd 5^{2}.

$$\frac{2\times 5\sqrt{102}}{2.5}$$

Lluosi 2 a 5 i gael 10.

$$\frac{10\sqrt{102}}{2.5}$$

Rhannu 10\sqrt{102} â 2.5 i gael 4\sqrt{102}.

$$4\sqrt{102}$$