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

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

मूल्यांकन करचें

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

सोडोवणी पांवडे

\sqrt{3} चो वर्ग 3 आसा.

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

\frac{1}{4} मेळोवंक 2 चो \frac{1}{2} पॉवर मेजचो.

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

\frac{1}{2} मेळोवंक 2 आनी \frac{1}{4} गुणचें.

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

\frac{5}{2} मेळोवंक 3 आनी \frac{1}{2} वजा करचे.

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

\sqrt{2} चो वर्ग 2 आसा.

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

\frac{3}{2} मेळोवंक \frac{3}{4} आनी 2 गुणचें.

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

न्युमरेटर आनी डिनोमिनेटर \sqrt{3} न गुणून \frac{2}{\sqrt{3}} चो डिनोमिनेटर रेशनलायझ तर्कसंगत करचो.

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

\sqrt{3} चो वर्ग 3 आसा.

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

\frac{2\sqrt{3}}{3} पॉवर दिवंक, न्युमरेटर आनी डिनोमिनेटर दोनूय पॉवर मेरेन वाडोवचे आनी मागीर भाग लावचो.

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

एकोडो अपूर्णांक म्हूण 4\times \frac{\left(2\sqrt{3}\right)^{2}}{3^{2}} स्पश्ट करचें.

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

\left(2\sqrt{3}\right)^{2} विस्तारीत करचो.

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

4 मेळोवंक 2 चो 2 पॉवर मेजचो.

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

\sqrt{3} चो वर्ग 3 आसा.

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

12 मेळोवंक 4 आनी 3 गुणचें.

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

48 मेळोवंक 4 आनी 12 गुणचें.

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

9 मेळोवंक 2 चो 3 पॉवर मेजचो.

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

3 भायर काडून आनी रद्द करून एकदम उण्या संज्ञेत अपुर्णांक \frac{48}{9} उणो करचो.

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

-\frac{17}{6} मेळोवंक \frac{5}{2} आनी \frac{16}{3} वजा करचे.

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

गुणकपद

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

सोडोवणी पांवडे

\sqrt{3} चो वर्ग 3 आसा.

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

\frac{1}{4} मेळोवंक 2 चो \frac{1}{2} पॉवर मेजचो.

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

\frac{1}{2} मेळोवंक 2 आनी \frac{1}{4} गुणचें.

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

\frac{5}{2} मेळोवंक 3 आनी \frac{1}{2} वजा करचे.

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

\sqrt{2} चो वर्ग 2 आसा.

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

\frac{3}{2} मेळोवंक \frac{3}{4} आनी 2 गुणचें.

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

न्युमरेटर आनी डिनोमिनेटर \sqrt{3} न गुणून \frac{2}{\sqrt{3}} चो डिनोमिनेटर रेशनलायझ तर्कसंगत करचो.

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

\sqrt{3} चो वर्ग 3 आसा.

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

\frac{2\sqrt{3}}{3} पॉवर दिवंक, न्युमरेटर आनी डिनोमिनेटर दोनूय पॉवर मेरेन वाडोवचे आनी मागीर भाग लावचो.

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

एकोडो अपूर्णांक म्हूण 4\times \frac{\left(2\sqrt{3}\right)^{2}}{3^{2}} स्पश्ट करचें.

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

\left(2\sqrt{3}\right)^{2} विस्तारीत करचो.

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

4 मेळोवंक 2 चो 2 पॉवर मेजचो.

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

\sqrt{3} चो वर्ग 3 आसा.

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

12 मेळोवंक 4 आनी 3 गुणचें.

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

48 मेळोवंक 4 आनी 12 गुणचें.

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

9 मेळोवंक 2 चो 3 पॉवर मेजचो.

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

3 भायर काडून आनी रद्द करून एकदम उण्या संज्ञेत अपुर्णांक \frac{48}{9} उणो करचो.

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

-\frac{17}{6} मेळोवंक \frac{5}{2} आनी \frac{16}{3} वजा करचे.

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

\frac{1}{6} गुणकपद काडचें.

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