Réitigh (frac{sqrt{5}}{sqrt{6}}-frac{sqrt{2}}{sqrt{15}})

$$( \frac { \sqrt { 5 } } { \sqrt { 6 } } - \frac { \sqrt { 2 } } { \sqrt { 15 } } )$$

Luacháil

$$\frac{\sqrt{30}}{10}\approx 0.547722558$$

Céimeanna Réitigh

Iolraigh an t-uimhreoir agus an t-ainmneoir faoi \sqrt{6} chun ainmneoir \frac{\sqrt{5}}{\sqrt{6}} a thiontú in uimhir chóimheasta.

$$\frac{\sqrt{5}\sqrt{6}}{\left(\sqrt{6}\right)^{2}}-\frac{\sqrt{2}}{\sqrt{15}}$$

Is é 6 uimhir chearnach \sqrt{6}.

$$\frac{\sqrt{5}\sqrt{6}}{6}-\frac{\sqrt{2}}{\sqrt{15}}$$

Iolraigh na huimhreacha faoin bhfréamh cearnach chun \sqrt{5} agus \sqrt{6} a iolrú.

$$\frac{\sqrt{30}}{6}-\frac{\sqrt{2}}{\sqrt{15}}$$

Iolraigh an t-uimhreoir agus an t-ainmneoir faoi \sqrt{15} chun ainmneoir \frac{\sqrt{2}}{\sqrt{15}} a thiontú in uimhir chóimheasta.

$$\frac{\sqrt{30}}{6}-\frac{\sqrt{2}\sqrt{15}}{\left(\sqrt{15}\right)^{2}}$$

Is é 15 uimhir chearnach \sqrt{15}.

$$\frac{\sqrt{30}}{6}-\frac{\sqrt{2}\sqrt{15}}{15}$$

Iolraigh na huimhreacha faoin bhfréamh cearnach chun \sqrt{2} agus \sqrt{15} a iolrú.

$$\frac{\sqrt{30}}{6}-\frac{\sqrt{30}}{15}$$

Comhcheangail \frac{\sqrt{30}}{6} agus -\frac{\sqrt{30}}{15} chun \frac{1}{10}\sqrt{30} a fháil.

$$\frac{1}{10}\sqrt{30}$$