Réitigh 270.625-269.3/0.523/sqrt{8}

$$\frac { 270.625 - 269.3 } { 0.523 / \sqrt { 8 } }$$

Luacháil

$$\frac{2650\sqrt{2}}{523}\approx 7.165709255$$

Céimeanna Réitigh

Dealaigh 269.3 ó 270.625 chun 1.325 a fháil.

$$\frac{1.325}{\frac{0.523}{\sqrt{8}}}$$

Fachtóirigh 8=2^{2}\times 2. Athscríobh fréamh cearnach an toraidh \sqrt{2^{2}\times 2} mar thoradh na bhfréamhacha cearnacha \sqrt{2^{2}}\sqrt{2}. Tóg fréamh chearnach 2^{2}.

$$\frac{1.325}{\frac{0.523}{2\sqrt{2}}}$$

Iolraigh an t-uimhreoir agus an t-ainmneoir faoi \sqrt{2} chun ainmneoir \frac{0.523}{2\sqrt{2}} a thiontú in uimhir chóimheasta.

$$\frac{1.325}{\frac{0.523\sqrt{2}}{2\left(\sqrt{2}\right)^{2}}}$$

Is é 2 uimhir chearnach \sqrt{2}.

$$\frac{1.325}{\frac{0.523\sqrt{2}}{2\times 2}}$$

Méadaigh 2 agus 2 chun 4 a fháil.

$$\frac{1.325}{\frac{0.523\sqrt{2}}{4}}$$

Roinn 0.523\sqrt{2} faoi 4 chun 0.13075\sqrt{2} a fháil.

$$\frac{1.325}{0.13075\sqrt{2}}$$

Iolraigh an t-uimhreoir agus an t-ainmneoir faoi \sqrt{2} chun ainmneoir \frac{1.325}{0.13075\sqrt{2}} a thiontú in uimhir chóimheasta.

$$\frac{1.325\sqrt{2}}{0.13075\left(\sqrt{2}\right)^{2}}$$

Is é 2 uimhir chearnach \sqrt{2}.

$$\frac{1.325\sqrt{2}}{0.13075\times 2}$$

Méadaigh 0.13075 agus 2 chun 0.2615 a fháil.

$$\frac{1.325\sqrt{2}}{0.2615}$$

Roinn 1.325\sqrt{2} faoi 0.2615 chun \frac{2650}{523}\sqrt{2} a fháil.

$$\frac{2650}{523}\sqrt{2}$$