Datrys (sqrt{15}+2sqrt{2})divsqrt{3}

$$( \sqrt { 15 } + 2 \sqrt { 2 } ) \div \sqrt { 3 }$$

Enrhifo

$$\frac{2\sqrt{6}}{3}+\sqrt{5}\approx 3.869061139$$

Camau Ateb

Mae'n rhesymoli enwadur \frac{\sqrt{15}+2\sqrt{2}}{\sqrt{3}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{3}.

$$\frac{\left(\sqrt{15}+2\sqrt{2}\right)\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

Sgwâr \sqrt{3} yw 3.

$$\frac{\left(\sqrt{15}+2\sqrt{2}\right)\sqrt{3}}{3}$$

Defnyddio’r briodwedd ddosbarthu i luosi \sqrt{15}+2\sqrt{2} â \sqrt{3}.

$$\frac{\sqrt{15}\sqrt{3}+2\sqrt{2}\sqrt{3}}{3}$$

Ffactora 15=3\times 5. Ailysgrifennu ail isradd y lluoswm \sqrt{3\times 5} fel lluoswm ail israddau \sqrt{3}\sqrt{5}.

$$\frac{\sqrt{3}\sqrt{5}\sqrt{3}+2\sqrt{2}\sqrt{3}}{3}$$

Lluosi \sqrt{3} a \sqrt{3} i gael 3.

$$\frac{3\sqrt{5}+2\sqrt{2}\sqrt{3}}{3}$$

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

$$\frac{3\sqrt{5}+2\sqrt{6}}{3}$$