Datrys sqrt{288}*sqrt{1/72}

$$\sqrt { 288 } \times \sqrt { \frac { 1 } { 72 } }$$

Enrhifo

$$2$$

Camau Ateb

Ffactora 288=12^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{12^{2}\times 2} fel lluoswm ail israddau \sqrt{12^{2}}\sqrt{2}. Cymryd isradd 12^{2}.

$$12\sqrt{2}\sqrt{\frac{1}{72}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{1}{72}} fel rhaniad ail israddau \frac{\sqrt{1}}{\sqrt{72}}.

$$12\sqrt{2}\times \frac{\sqrt{1}}{\sqrt{72}}$$

Cyfrifo ail isradd 1 a chael 1.

$$12\sqrt{2}\times \frac{1}{\sqrt{72}}$$

Ffactora 72=6^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{6^{2}\times 2} fel lluoswm ail israddau \sqrt{6^{2}}\sqrt{2}. Cymryd isradd 6^{2}.

$$12\sqrt{2}\times \frac{1}{6\sqrt{2}}$$

Mae'n rhesymoli enwadur \frac{1}{6\sqrt{2}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{2}.

$$12\sqrt{2}\times \frac{\sqrt{2}}{6\left(\sqrt{2}\right)^{2}}$$

Sgwâr \sqrt{2} yw 2.

$$12\sqrt{2}\times \frac{\sqrt{2}}{6\times 2}$$

Lluosi 6 a 2 i gael 12.

$$12\sqrt{2}\times \frac{\sqrt{2}}{12}$$

Canslo 12 a 12.

$$\sqrt{2}\sqrt{2}$$

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

$$2$$

Ffactor

$$2$$