Datrys 1/sqrt{5+2}+1/3sqrt{8}

$$\frac{ 1 }{ \sqrt{ 5+2 } } + \frac{ 1 }{ 3 \sqrt{ 8 } }$$

Enrhifo

$$\frac{\sqrt{7}\left(\sqrt{14}+12\right)}{84}\approx 0.495815603$$

Camau Ateb Byr

Adio 5 a 2 i gael 7.

$$\frac{1}{\sqrt{7}}+\frac{1}{3\sqrt{8}}$$

Mae'n rhesymoli enwadur \frac{1}{\sqrt{7}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{7}.

$$\frac{\sqrt{7}}{\left(\sqrt{7}\right)^{2}}+\frac{1}{3\sqrt{8}}$$

Sgwâr \sqrt{7} yw 7.

$$\frac{\sqrt{7}}{7}+\frac{1}{3\sqrt{8}}$$

Ffactora 8=2^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 2} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{2}. Cymryd isradd 2^{2}.

$$\frac{\sqrt{7}}{7}+\frac{1}{3\times 2\sqrt{2}}$$

Lluosi 3 a 2 i gael 6.

$$\frac{\sqrt{7}}{7}+\frac{1}{6\sqrt{2}}$$

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

$$\frac{\sqrt{7}}{7}+\frac{\sqrt{2}}{6\left(\sqrt{2}\right)^{2}}$$

Sgwâr \sqrt{2} yw 2.

$$\frac{\sqrt{7}}{7}+\frac{\sqrt{2}}{6\times 2}$$

Lluosi 6 a 2 i gael 12.

$$\frac{\sqrt{7}}{7}+\frac{\sqrt{2}}{12}$$

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluosrif lleiaf cyffredin 7 a 12 yw 84. Lluoswch \frac{\sqrt{7}}{7} â \frac{12}{12}. Lluoswch \frac{\sqrt{2}}{12} â \frac{7}{7}.

$$\frac{12\sqrt{7}}{84}+\frac{7\sqrt{2}}{84}$$

Gan fod gan \frac{12\sqrt{7}}{84} a \frac{7\sqrt{2}}{84} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{12\sqrt{7}+7\sqrt{2}}{84}$$

Ffactor

$$\frac{\sqrt{7} {(\sqrt{2} \sqrt{7} + 12)}}{84} = 0.49581560320698514$$