Réitigh [(sqrt{3})^2-2*(1/2)^2-3/4x(sqrt{2})^2-4(2/sqrt{3})^2]

$$[ ( \sqrt { 3 } ) ^ { 2 } - 2 \times ( \frac { 1 } { 2 } ) ^ { 2 } - \frac { 3 } { 4 } x ( \sqrt { 2 } ) ^ { 2 } - 4 ( \frac { 2 } { \sqrt { 3 } } ) ^ { 2 } ]$$

Luacháil

$$-\frac{3x}{2}-\frac{17}{6}$$

Céimeanna Réitigh

Is é 3 uimhir chearnach \sqrt{3}.

$$3-2\times \left(\frac{1}{2}\right)^{2}-\frac{3}{4}x\left(\sqrt{2}\right)^{2}-4\times \left(\frac{2}{\sqrt{3}}\right)^{2}$$

Ríomh cumhacht \frac{1}{2} de 2 agus faigh \frac{1}{4}.

$$3-2\times \frac{1}{4}-\frac{3}{4}x\left(\sqrt{2}\right)^{2}-4\times \left(\frac{2}{\sqrt{3}}\right)^{2}$$

Méadaigh 2 agus \frac{1}{4} chun \frac{1}{2} a fháil.

$$3-\frac{1}{2}-\frac{3}{4}x\left(\sqrt{2}\right)^{2}-4\times \left(\frac{2}{\sqrt{3}}\right)^{2}$$

Dealaigh \frac{1}{2} ó 3 chun \frac{5}{2} a fháil.

$$\frac{5}{2}-\frac{3}{4}x\left(\sqrt{2}\right)^{2}-4\times \left(\frac{2}{\sqrt{3}}\right)^{2}$$

Is é 2 uimhir chearnach \sqrt{2}.

$$\frac{5}{2}-\frac{3}{4}x\times 2-4\times \left(\frac{2}{\sqrt{3}}\right)^{2}$$

Méadaigh \frac{3}{4} agus 2 chun \frac{3}{2} a fháil.

$$\frac{5}{2}-\frac{3}{2}x-4\times \left(\frac{2}{\sqrt{3}}\right)^{2}$$

Iolraigh an t-uimhreoir agus an t-ainmneoir faoi \sqrt{3} chun ainmneoir \frac{2}{\sqrt{3}} a thiontú in uimhir chóimheasta.

$$\frac{5}{2}-\frac{3}{2}x-4\times \left(\frac{2\sqrt{3}}{\left(\sqrt{3}\right)^{2}}\right)^{2}$$

Is é 3 uimhir chearnach \sqrt{3}.

$$\frac{5}{2}-\frac{3}{2}x-4\times \left(\frac{2\sqrt{3}}{3}\right)^{2}$$

Chun \frac{2\sqrt{3}}{3} a iolrú i gcumhacht, iolraigh an t-uimhreoir agus an t-ainmneoir araon i gcumhacht agus déan iad a roinnt ansin.

$$\frac{5}{2}-\frac{3}{2}x-4\times \frac{\left(2\sqrt{3}\right)^{2}}{3^{2}}$$

Scríobh 4\times \frac{\left(2\sqrt{3}\right)^{2}}{3^{2}} mar chodán aonair.

$$\frac{5}{2}-\frac{3}{2}x-\frac{4\times \left(2\sqrt{3}\right)^{2}}{3^{2}}$$

Fairsingigh \left(2\sqrt{3}\right)^{2}

$$\frac{5}{2}-\frac{3}{2}x-\frac{4\times 2^{2}\left(\sqrt{3}\right)^{2}}{3^{2}}$$

Ríomh cumhacht 2 de 2 agus faigh 4.

$$\frac{5}{2}-\frac{3}{2}x-\frac{4\times 4\left(\sqrt{3}\right)^{2}}{3^{2}}$$

Is é 3 uimhir chearnach \sqrt{3}.

$$\frac{5}{2}-\frac{3}{2}x-\frac{4\times 4\times 3}{3^{2}}$$

Méadaigh 4 agus 3 chun 12 a fháil.

$$\frac{5}{2}-\frac{3}{2}x-\frac{4\times 12}{3^{2}}$$

Méadaigh 4 agus 12 chun 48 a fháil.

$$\frac{5}{2}-\frac{3}{2}x-\frac{48}{3^{2}}$$

Ríomh cumhacht 3 de 2 agus faigh 9.

$$\frac{5}{2}-\frac{3}{2}x-\frac{48}{9}$$

Laghdaigh an codán \frac{48}{9} chuig na téarmaí is ísle trí 3 a bhaint agus a chealú.

$$\frac{5}{2}-\frac{3}{2}x-\frac{16}{3}$$

Dealaigh \frac{16}{3} ó \frac{5}{2} chun -\frac{17}{6} a fháil.

$$-\frac{17}{6}-\frac{3}{2}x$$

Fachtóirigh

$$\frac{-9x-17}{6}$$

Céimeanna Réitigh

Is é 3 uimhir chearnach \sqrt{3}.

$$factor(3-2\times \left(\frac{1}{2}\right)^{2}-\frac{3}{4}x\left(\sqrt{2}\right)^{2}-4\times \left(\frac{2}{\sqrt{3}}\right)^{2})$$

Ríomh cumhacht \frac{1}{2} de 2 agus faigh \frac{1}{4}.

$$factor(3-2\times \frac{1}{4}-\frac{3}{4}x\left(\sqrt{2}\right)^{2}-4\times \left(\frac{2}{\sqrt{3}}\right)^{2})$$

Méadaigh 2 agus \frac{1}{4} chun \frac{1}{2} a fháil.

$$factor(3-\frac{1}{2}-\frac{3}{4}x\left(\sqrt{2}\right)^{2}-4\times \left(\frac{2}{\sqrt{3}}\right)^{2})$$

Dealaigh \frac{1}{2} ó 3 chun \frac{5}{2} a fháil.

$$factor(\frac{5}{2}-\frac{3}{4}x\left(\sqrt{2}\right)^{2}-4\times \left(\frac{2}{\sqrt{3}}\right)^{2})$$

Is é 2 uimhir chearnach \sqrt{2}.

$$factor(\frac{5}{2}-\frac{3}{4}x\times 2-4\times \left(\frac{2}{\sqrt{3}}\right)^{2})$$

Méadaigh \frac{3}{4} agus 2 chun \frac{3}{2} a fháil.

$$factor(\frac{5}{2}-\frac{3}{2}x-4\times \left(\frac{2}{\sqrt{3}}\right)^{2})$$

Iolraigh an t-uimhreoir agus an t-ainmneoir faoi \sqrt{3} chun ainmneoir \frac{2}{\sqrt{3}} a thiontú in uimhir chóimheasta.

$$factor(\frac{5}{2}-\frac{3}{2}x-4\times \left(\frac{2\sqrt{3}}{\left(\sqrt{3}\right)^{2}}\right)^{2})$$

Is é 3 uimhir chearnach \sqrt{3}.

$$factor(\frac{5}{2}-\frac{3}{2}x-4\times \left(\frac{2\sqrt{3}}{3}\right)^{2})$$

Chun \frac{2\sqrt{3}}{3} a iolrú i gcumhacht, iolraigh an t-uimhreoir agus an t-ainmneoir araon i gcumhacht agus déan iad a roinnt ansin.

$$factor(\frac{5}{2}-\frac{3}{2}x-4\times \frac{\left(2\sqrt{3}\right)^{2}}{3^{2}})$$

Scríobh 4\times \frac{\left(2\sqrt{3}\right)^{2}}{3^{2}} mar chodán aonair.

$$factor(\frac{5}{2}-\frac{3}{2}x-\frac{4\times \left(2\sqrt{3}\right)^{2}}{3^{2}})$$

Fairsingigh \left(2\sqrt{3}\right)^{2}

$$factor(\frac{5}{2}-\frac{3}{2}x-\frac{4\times 2^{2}\left(\sqrt{3}\right)^{2}}{3^{2}})$$

Ríomh cumhacht 2 de 2 agus faigh 4.

$$factor(\frac{5}{2}-\frac{3}{2}x-\frac{4\times 4\left(\sqrt{3}\right)^{2}}{3^{2}})$$

Is é 3 uimhir chearnach \sqrt{3}.

$$factor(\frac{5}{2}-\frac{3}{2}x-\frac{4\times 4\times 3}{3^{2}})$$

Méadaigh 4 agus 3 chun 12 a fháil.

$$factor(\frac{5}{2}-\frac{3}{2}x-\frac{4\times 12}{3^{2}})$$

Méadaigh 4 agus 12 chun 48 a fháil.

$$factor(\frac{5}{2}-\frac{3}{2}x-\frac{48}{3^{2}})$$

Ríomh cumhacht 3 de 2 agus faigh 9.

$$factor(\frac{5}{2}-\frac{3}{2}x-\frac{48}{9})$$

Laghdaigh an codán \frac{48}{9} chuig na téarmaí is ísle trí 3 a bhaint agus a chealú.

$$factor(\frac{5}{2}-\frac{3}{2}x-\frac{16}{3})$$

Dealaigh \frac{16}{3} ó \frac{5}{2} chun -\frac{17}{6} a fháil.

$$factor(-\frac{17}{6}-\frac{3}{2}x)$$

Fág \frac{1}{6} as an áireamh.

$$\frac{-17-9x}{6}$$