Datrys 5sqrt{3}+2sqrt{27}+1/sqrt{3}

$$5 \sqrt { 3 } + 2 \sqrt { 27 } + \frac { 1 } { \sqrt { 3 } }$$

Enrhifo

$$\frac{34\sqrt{3}}{3}\approx 19.629909152$$

Camau Ateb

Ffactora 27=3^{2}\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 3} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{3}. Cymryd isradd 3^{2}.

$$5\sqrt{3}+2\times 3\sqrt{3}+\frac{1}{\sqrt{3}}$$

Lluosi 2 a 3 i gael 6.

$$5\sqrt{3}+6\sqrt{3}+\frac{1}{\sqrt{3}}$$

Cyfuno 5\sqrt{3} a 6\sqrt{3} i gael 11\sqrt{3}.

$$11\sqrt{3}+\frac{1}{\sqrt{3}}$$

Mae'n rhesymoli enwadur \frac{1}{\sqrt{3}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{3}.

$$11\sqrt{3}+\frac{\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

Sgwâr \sqrt{3} yw 3.

$$11\sqrt{3}+\frac{\sqrt{3}}{3}$$

Cyfuno 11\sqrt{3} a \frac{\sqrt{3}}{3} i gael \frac{34}{3}\sqrt{3}.

$$\frac{34}{3}\sqrt{3}$$