Réitigh sqrt{(left(0747-0500right)^2+left(0747-0440right)^2+left(0747-0460right)^2+left(0747-0640right)^2+{left(0747-0800right)}^2+{left(0747-0850right)}^2+{left(0747-1right)}^2+{left(0747-13right)}^2)div(8(8-1))}

$$\sqrt{ ( { \left(0747-0500 \right) }^{ 2 } + { \left(0747-0440 \right) }^{ 2 } + { \left(0747-0460 \right) }^{ 2 } + { \left(0747-0640 \right) }^{ 2 } + { \left(0747-0800 \right) }^{ 2 } + { \left(0747-0850 \right) }^{ 2 } + { \left(0747-1 \right) }^{ 2 } + { \left(0747-13 \right) }^{ 2 } ) \div (8(8-1)) }$$

Luacháil

$$\frac{\sqrt{595}}{14}\approx 1.742330131$$

Céimeanna Réitigh

Méadaigh 0 agus 747 chun 0 a fháil.

$$\sqrt{\frac{\left(0-0\times 500\right)^{2}+\left(0\times 747-0\times 440\right)^{2}+\left(0\times 747-0\times 460\right)^{2}+\left(0\times 747-0\times 640\right)^{2}+\left(0\times 747-0\times 800\right)^{2}+\left(0\times 747-0\times 850\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Méadaigh 0 agus 500 chun 0 a fháil.

$$\sqrt{\frac{\left(0-0\right)^{2}+\left(0\times 747-0\times 440\right)^{2}+\left(0\times 747-0\times 460\right)^{2}+\left(0\times 747-0\times 640\right)^{2}+\left(0\times 747-0\times 800\right)^{2}+\left(0\times 747-0\times 850\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Má dhealaítear 0 uaidh féin faightear 0.

$$\sqrt{\frac{0^{2}+\left(0\times 747-0\times 440\right)^{2}+\left(0\times 747-0\times 460\right)^{2}+\left(0\times 747-0\times 640\right)^{2}+\left(0\times 747-0\times 800\right)^{2}+\left(0\times 747-0\times 850\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Ríomh cumhacht 0 de 2 agus faigh 0.

$$\sqrt{\frac{0+\left(0\times 747-0\times 440\right)^{2}+\left(0\times 747-0\times 460\right)^{2}+\left(0\times 747-0\times 640\right)^{2}+\left(0\times 747-0\times 800\right)^{2}+\left(0\times 747-0\times 850\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Méadaigh 0 agus 747 chun 0 a fháil.

$$\sqrt{\frac{0+\left(0-0\times 440\right)^{2}+\left(0\times 747-0\times 460\right)^{2}+\left(0\times 747-0\times 640\right)^{2}+\left(0\times 747-0\times 800\right)^{2}+\left(0\times 747-0\times 850\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Méadaigh 0 agus 440 chun 0 a fháil.

$$\sqrt{\frac{0+\left(0-0\right)^{2}+\left(0\times 747-0\times 460\right)^{2}+\left(0\times 747-0\times 640\right)^{2}+\left(0\times 747-0\times 800\right)^{2}+\left(0\times 747-0\times 850\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Má dhealaítear 0 uaidh féin faightear 0.

$$\sqrt{\frac{0+0^{2}+\left(0\times 747-0\times 460\right)^{2}+\left(0\times 747-0\times 640\right)^{2}+\left(0\times 747-0\times 800\right)^{2}+\left(0\times 747-0\times 850\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Ríomh cumhacht 0 de 2 agus faigh 0.

$$\sqrt{\frac{0+0+\left(0\times 747-0\times 460\right)^{2}+\left(0\times 747-0\times 640\right)^{2}+\left(0\times 747-0\times 800\right)^{2}+\left(0\times 747-0\times 850\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Suimigh 0 agus 0 chun 0 a fháil.

$$\sqrt{\frac{\left(0\times 747-0\times 460\right)^{2}+\left(0\times 747-0\times 640\right)^{2}+\left(0\times 747-0\times 800\right)^{2}+\left(0\times 747-0\times 850\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Méadaigh 0 agus 747 chun 0 a fháil.

$$\sqrt{\frac{\left(0-0\times 460\right)^{2}+\left(0\times 747-0\times 640\right)^{2}+\left(0\times 747-0\times 800\right)^{2}+\left(0\times 747-0\times 850\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Méadaigh 0 agus 460 chun 0 a fháil.

$$\sqrt{\frac{\left(0-0\right)^{2}+\left(0\times 747-0\times 640\right)^{2}+\left(0\times 747-0\times 800\right)^{2}+\left(0\times 747-0\times 850\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Má dhealaítear 0 uaidh féin faightear 0.

$$\sqrt{\frac{0^{2}+\left(0\times 747-0\times 640\right)^{2}+\left(0\times 747-0\times 800\right)^{2}+\left(0\times 747-0\times 850\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Ríomh cumhacht 0 de 2 agus faigh 0.

$$\sqrt{\frac{0+\left(0\times 747-0\times 640\right)^{2}+\left(0\times 747-0\times 800\right)^{2}+\left(0\times 747-0\times 850\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Méadaigh 0 agus 747 chun 0 a fháil.

$$\sqrt{\frac{0+\left(0-0\times 640\right)^{2}+\left(0\times 747-0\times 800\right)^{2}+\left(0\times 747-0\times 850\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Méadaigh 0 agus 640 chun 0 a fháil.

$$\sqrt{\frac{0+\left(0-0\right)^{2}+\left(0\times 747-0\times 800\right)^{2}+\left(0\times 747-0\times 850\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Má dhealaítear 0 uaidh féin faightear 0.

$$\sqrt{\frac{0+0^{2}+\left(0\times 747-0\times 800\right)^{2}+\left(0\times 747-0\times 850\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Ríomh cumhacht 0 de 2 agus faigh 0.

$$\sqrt{\frac{0+0+\left(0\times 747-0\times 800\right)^{2}+\left(0\times 747-0\times 850\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Suimigh 0 agus 0 chun 0 a fháil.

$$\sqrt{\frac{\left(0\times 747-0\times 800\right)^{2}+\left(0\times 747-0\times 850\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Méadaigh 0 agus 747 chun 0 a fháil.

$$\sqrt{\frac{\left(0-0\times 800\right)^{2}+\left(0\times 747-0\times 850\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Méadaigh 0 agus 800 chun 0 a fháil.

$$\sqrt{\frac{\left(0-0\right)^{2}+\left(0\times 747-0\times 850\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Má dhealaítear 0 uaidh féin faightear 0.

$$\sqrt{\frac{0^{2}+\left(0\times 747-0\times 850\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Ríomh cumhacht 0 de 2 agus faigh 0.

$$\sqrt{\frac{0+\left(0\times 747-0\times 850\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Méadaigh 0 agus 747 chun 0 a fháil.

$$\sqrt{\frac{0+\left(0-0\times 850\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Méadaigh 0 agus 850 chun 0 a fháil.

$$\sqrt{\frac{0+\left(0-0\right)^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Má dhealaítear 0 uaidh féin faightear 0.

$$\sqrt{\frac{0+0^{2}+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Ríomh cumhacht 0 de 2 agus faigh 0.

$$\sqrt{\frac{0+0+\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Suimigh 0 agus 0 chun 0 a fháil.

$$\sqrt{\frac{\left(0\times 747-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Méadaigh 0 agus 747 chun 0 a fháil.

$$\sqrt{\frac{\left(0-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Dealaigh 1 ó 0 chun -1 a fháil.

$$\sqrt{\frac{\left(-1\right)^{2}+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Ríomh cumhacht -1 de 2 agus faigh 1.

$$\sqrt{\frac{1+\left(0\times 747-13\right)^{2}}{8\left(8-1\right)}}$$

Méadaigh 0 agus 747 chun 0 a fháil.

$$\sqrt{\frac{1+\left(0-13\right)^{2}}{8\left(8-1\right)}}$$

Dealaigh 13 ó 0 chun -13 a fháil.

$$\sqrt{\frac{1+\left(-13\right)^{2}}{8\left(8-1\right)}}$$

Ríomh cumhacht -13 de 2 agus faigh 169.

$$\sqrt{\frac{1+169}{8\left(8-1\right)}}$$

Suimigh 1 agus 169 chun 170 a fháil.

$$\sqrt{\frac{170}{8\left(8-1\right)}}$$

Dealaigh 1 ó 8 chun 7 a fháil.

$$\sqrt{\frac{170}{8\times 7}}$$

Méadaigh 8 agus 7 chun 56 a fháil.

$$\sqrt{\frac{170}{56}}$$

Laghdaigh an codán \frac{170}{56} chuig na téarmaí is ísle trí 2 a bhaint agus a chealú.

$$\sqrt{\frac{85}{28}}$$

Athscríobh fréamh cearnach na roinnte \sqrt{\frac{85}{28}} mar roinnt na bhfréamhacha cearnacha \frac{\sqrt{85}}{\sqrt{28}}.

$$\frac{\sqrt{85}}{\sqrt{28}}$$

Fachtóirigh 28=2^{2}\times 7. Athscríobh fréamh cearnach an toraidh \sqrt{2^{2}\times 7} mar thoradh na bhfréamhacha cearnacha \sqrt{2^{2}}\sqrt{7}. Tóg fréamh chearnach 2^{2}.

$$\frac{\sqrt{85}}{2\sqrt{7}}$$

Iolraigh an t-uimhreoir agus an t-ainmneoir faoi \sqrt{7} chun ainmneoir \frac{\sqrt{85}}{2\sqrt{7}} a thiontú in uimhir chóimheasta.

$$\frac{\sqrt{85}\sqrt{7}}{2\left(\sqrt{7}\right)^{2}}$$

Is é 7 uimhir chearnach \sqrt{7}.

$$\frac{\sqrt{85}\sqrt{7}}{2\times 7}$$

Iolraigh na huimhreacha faoin bhfréamh cearnach chun \sqrt{85} agus \sqrt{7} a iolrú.

$$\frac{\sqrt{595}}{2\times 7}$$

Méadaigh 2 agus 7 chun 14 a fháil.

$$\frac{\sqrt{595}}{14}$$