सोडोवचें frac{886731088897-627013566048sqrt{2}}{886731088897+627013566048sqrt{2}}

$$\frac{ 886731088897-627013566048 \sqrt{ 2 } }{ 886731088897+627013566048 \sqrt{ 2 } }$$

मूल्यांकन करचें

$$1572584048032918633353217-1111984844349868137938112\sqrt{2}\approx -268435456$$

सोडोवणी पांवडे

न्युमरेटर आनी डिनोमिनेटर 886731088897-627013566048\sqrt{2} न गुणून \frac{886731088897-627013566048\sqrt{2}}{886731088897+627013566048\sqrt{2}} चो डिनोमिनेटर रेशनलायझ तर्कसंगत करचो.

$$\frac{\left(886731088897-627013566048\sqrt{2}\right)\left(886731088897-627013566048\sqrt{2}\right)}{\left(886731088897+627013566048\sqrt{2}\right)\left(886731088897-627013566048\sqrt{2}\right)}$$

विचारांत घेयात \left(886731088897+627013566048\sqrt{2}\right)\left(886731088897-627013566048\sqrt{2}\right). नेम वापरून गुणाकार विभिन्न चवकोनांत रुपांतरण करूं येताः \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{\left(886731088897-627013566048\sqrt{2}\right)\left(886731088897-627013566048\sqrt{2}\right)}{886731088897^{2}-\left(627013566048\sqrt{2}\right)^{2}}$$

\left(886731088897-627013566048\sqrt{2}\right)^{2} मेळोवंक 886731088897-627013566048\sqrt{2} आनी 886731088897-627013566048\sqrt{2} गुणचें.

$$\frac{\left(886731088897-627013566048\sqrt{2}\right)^{2}}{886731088897^{2}-\left(627013566048\sqrt{2}\right)^{2}}$$

बायनोमियल प्रमेयाचो वापर करून \left(a-b\right)^{2}=a^{2}-2ab+b^{2} विस्तारावचें \left(886731088897-627013566048\sqrt{2}\right)^{2}.

$$\frac{786292024016459316676609-1111984844349868137938112\sqrt{2}+393146012008229658338304\left(\sqrt{2}\right)^{2}}{886731088897^{2}-\left(627013566048\sqrt{2}\right)^{2}}$$

\sqrt{2} चो वर्ग 2 आसा.

$$\frac{786292024016459316676609-1111984844349868137938112\sqrt{2}+393146012008229658338304\times 2}{886731088897^{2}-\left(627013566048\sqrt{2}\right)^{2}}$$

786292024016459316676608 मेळोवंक 393146012008229658338304 आनी 2 गुणचें.

$$\frac{786292024016459316676609-1111984844349868137938112\sqrt{2}+786292024016459316676608}{886731088897^{2}-\left(627013566048\sqrt{2}\right)^{2}}$$

1572584048032918633353217 मेळोवंक 786292024016459316676609 आनी 786292024016459316676608 ची बेरीज करची.

$$\frac{1572584048032918633353217-1111984844349868137938112\sqrt{2}}{886731088897^{2}-\left(627013566048\sqrt{2}\right)^{2}}$$

786292024016459316676609 मेळोवंक 2 चो 886731088897 पॉवर मेजचो.

$$\frac{1572584048032918633353217-1111984844349868137938112\sqrt{2}}{786292024016459316676609-\left(627013566048\sqrt{2}\right)^{2}}$$

\left(627013566048\sqrt{2}\right)^{2} विस्तारीत करचो.

$$\frac{1572584048032918633353217-1111984844349868137938112\sqrt{2}}{786292024016459316676609-627013566048^{2}\left(\sqrt{2}\right)^{2}}$$

393146012008229658338304 मेळोवंक 2 चो 627013566048 पॉवर मेजचो.

$$\frac{1572584048032918633353217-1111984844349868137938112\sqrt{2}}{786292024016459316676609-393146012008229658338304\left(\sqrt{2}\right)^{2}}$$

\sqrt{2} चो वर्ग 2 आसा.

$$\frac{1572584048032918633353217-1111984844349868137938112\sqrt{2}}{786292024016459316676609-393146012008229658338304\times 2}$$

786292024016459316676608 मेळोवंक 393146012008229658338304 आनी 2 गुणचें.

$$\frac{1572584048032918633353217-1111984844349868137938112\sqrt{2}}{786292024016459316676609-786292024016459316676608}$$

1 मेळोवंक 786292024016459316676609 आनी 786292024016459316676608 वजा करचे.

$$\frac{1572584048032918633353217-1111984844349868137938112\sqrt{2}}{1}$$

कितेंय तातूंतल्यान विभागल्यार तेंच दिता.

$$1572584048032918633353217-1111984844349868137938112\sqrt{2}$$