सोडोवचें frac{1.6+2sqrt{2}}{0.083-0.024sqrt{2}}

$$\frac{ 1.6+2 \sqrt{ 2 } }{ 0.083-0.024 \sqrt{ 2 } }$$

मूल्यांकन करचें

$$\frac{204400\sqrt{2}+228800}{5737}\approx 90.267605395$$

सोडोवणी पांवडे

न्युमरेटर आनी डिनोमिनेटर 0.083+0.024\sqrt{2} न गुणून \frac{1.6+2\sqrt{2}}{0.083-0.024\sqrt{2}} चो डिनोमिनेटर रेशनलायझ तर्कसंगत करचो.

$$\frac{\left(1.6+2\sqrt{2}\right)\left(0.083+0.024\sqrt{2}\right)}{\left(0.083-0.024\sqrt{2}\right)\left(0.083+0.024\sqrt{2}\right)}$$

विचारांत घेयात \left(0.083-0.024\sqrt{2}\right)\left(0.083+0.024\sqrt{2}\right). नेम वापरून गुणाकार विभिन्न चवकोनांत रुपांतरण करूं येताः \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{\left(1.6+2\sqrt{2}\right)\left(0.083+0.024\sqrt{2}\right)}{0.083^{2}-\left(-0.024\sqrt{2}\right)^{2}}$$

0.006889 मेळोवंक 2 चो 0.083 पॉवर मेजचो.

$$\frac{\left(1.6+2\sqrt{2}\right)\left(0.083+0.024\sqrt{2}\right)}{0.006889-\left(-0.024\sqrt{2}\right)^{2}}$$

\left(-0.024\sqrt{2}\right)^{2} विस्तारीत करचो.

$$\frac{\left(1.6+2\sqrt{2}\right)\left(0.083+0.024\sqrt{2}\right)}{0.006889-\left(-0.024\right)^{2}\left(\sqrt{2}\right)^{2}}$$

0.000576 मेळोवंक 2 चो -0.024 पॉवर मेजचो.

$$\frac{\left(1.6+2\sqrt{2}\right)\left(0.083+0.024\sqrt{2}\right)}{0.006889-0.000576\left(\sqrt{2}\right)^{2}}$$

\sqrt{2} चो वर्ग 2 आसा.

$$\frac{\left(1.6+2\sqrt{2}\right)\left(0.083+0.024\sqrt{2}\right)}{0.006889-0.000576\times 2}$$

0.001152 मेळोवंक 0.000576 आनी 2 गुणचें.

$$\frac{\left(1.6+2\sqrt{2}\right)\left(0.083+0.024\sqrt{2}\right)}{0.006889-0.001152}$$

0.005737 मेळोवंक 0.006889 आनी 0.001152 वजा करचे.

$$\frac{\left(1.6+2\sqrt{2}\right)\left(0.083+0.024\sqrt{2}\right)}{0.005737}$$

1.6+2\sqrt{2}च्या प्रत्येकी टर्माक 0.083+0.024\sqrt{2} च्या प्रत्येकी टर्मान गुणाकार करून वितरक गुणधर्म लागू करचो.

$$\frac{0.1328+0.0384\sqrt{2}+0.166\sqrt{2}+0.048\left(\sqrt{2}\right)^{2}}{0.005737}$$

0.2044\sqrt{2} मेळोवंक 0.0384\sqrt{2} आनी 0.166\sqrt{2} एकठांय करचें.

$$\frac{0.1328+0.2044\sqrt{2}+0.048\left(\sqrt{2}\right)^{2}}{0.005737}$$

\sqrt{2} चो वर्ग 2 आसा.

$$\frac{0.1328+0.2044\sqrt{2}+0.048\times 2}{0.005737}$$

0.096 मेळोवंक 0.048 आनी 2 गुणचें.

$$\frac{0.1328+0.2044\sqrt{2}+0.096}{0.005737}$$

0.2288 मेळोवंक 0.1328 आनी 0.096 ची बेरीज करची.

$$\frac{0.2288+0.2044\sqrt{2}}{0.005737}$$