सोडोवचें 12/9+sqrt{7}

$$\frac { 12 } { 9 + \sqrt { 7 } }$$

मूल्यांकन करचें

$$\frac{54-6\sqrt{7}}{37}\approx 1.030418706$$

सोडोवणी पांवडे

न्युमरेटर आनी डिनोमिनेटर 9-\sqrt{7} न गुणून \frac{12}{9+\sqrt{7}} चो डिनोमिनेटर रेशनलायझ तर्कसंगत करचो.

$$\frac{12\left(9-\sqrt{7}\right)}{\left(9+\sqrt{7}\right)\left(9-\sqrt{7}\right)}$$

विचारांत घेयात \left(9+\sqrt{7}\right)\left(9-\sqrt{7}\right). नेम वापरून गुणाकार विभिन्न चवकोनांत रुपांतरण करूं येताः \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{12\left(9-\sqrt{7}\right)}{9^{2}-\left(\sqrt{7}\right)^{2}}$$

9 वर्गमूळ. \sqrt{7} वर्गमूळ.

$$\frac{12\left(9-\sqrt{7}\right)}{81-7}$$

74 मेळोवंक 81 आनी 7 वजा करचे.

$$\frac{12\left(9-\sqrt{7}\right)}{74}$$

\frac{6}{37}\left(9-\sqrt{7}\right) मेळोवंक 12\left(9-\sqrt{7}\right) क 74 न भाग लावचो.

$$\frac{6}{37}\left(9-\sqrt{7}\right)$$

9-\sqrt{7} न \frac{6}{37} गुणपाक विभाजक विशमाचो वापर करचो.

$$\frac{6}{37}\times 9+\frac{6}{37}\left(-1\right)\sqrt{7}$$

एकोडो अपूर्णांक म्हूण \frac{6}{37}\times 9 स्पश्ट करचें.

$$\frac{6\times 9}{37}+\frac{6}{37}\left(-1\right)\sqrt{7}$$

54 मेळोवंक 6 आनी 9 गुणचें.

$$\frac{54}{37}+\frac{6}{37}\left(-1\right)\sqrt{7}$$

-\frac{6}{37} मेळोवंक \frac{6}{37} आनी -1 गुणचें.

$$\frac{54}{37}-\frac{6}{37}\sqrt{7}$$