सोडोवचें frac{2left(0.8+sqrt{2}right)}{{left(0.2sqrt{2}-0.06right)}^2}

$$\frac{ 2 \left( 0.8+ \sqrt{ 2 } \right) }{ { \left(0.2 \sqrt{ 2 } -0.06 \right) }^{ 2 } }$$

मूल्यांकन करचें

$$\frac{1285000\sqrt{2}+1436000}{36481}\approx 89.176953144$$

सोडोवणी पांवडे

बायनोमियल प्रमेयाचो वापर करून \left(a-b\right)^{2}=a^{2}-2ab+b^{2} विस्तारावचें \left(0.2\sqrt{2}-0.06\right)^{2}.

$$\frac{2\left(0.8+\sqrt{2}\right)}{0.04\left(\sqrt{2}\right)^{2}-0.024\sqrt{2}+0.0036}$$

\sqrt{2} चो वर्ग 2 आसा.

$$\frac{2\left(0.8+\sqrt{2}\right)}{0.04\times 2-0.024\sqrt{2}+0.0036}$$

0.08 मेळोवंक 0.04 आनी 2 गुणचें.

$$\frac{2\left(0.8+\sqrt{2}\right)}{0.08-0.024\sqrt{2}+0.0036}$$

0.0836 मेळोवंक 0.08 आनी 0.0036 ची बेरीज करची.

$$\frac{2\left(0.8+\sqrt{2}\right)}{0.0836-0.024\sqrt{2}}$$

न्युमरेटर आनी डिनोमिनेटर 0.0836+0.024\sqrt{2} न गुणून \frac{2\left(0.8+\sqrt{2}\right)}{0.0836-0.024\sqrt{2}} चो डिनोमिनेटर रेशनलायझ तर्कसंगत करचो.

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{\left(0.0836-0.024\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}$$

विचारांत घेयात \left(0.0836-0.024\sqrt{2}\right)\left(0.0836+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}.

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{0.0836^{2}-\left(-0.024\sqrt{2}\right)^{2}}$$

0.00698896 मेळोवंक 2 चो 0.0836 पॉवर मेजचो.

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{0.00698896-\left(-0.024\sqrt{2}\right)^{2}}$$

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

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{0.00698896-\left(-0.024\right)^{2}\left(\sqrt{2}\right)^{2}}$$

0.000576 मेळोवंक 2 चो -0.024 पॉवर मेजचो.

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{0.00698896-0.000576\left(\sqrt{2}\right)^{2}}$$

\sqrt{2} चो वर्ग 2 आसा.

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{0.00698896-0.000576\times 2}$$

0.001152 मेळोवंक 0.000576 आनी 2 गुणचें.

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{0.00698896-0.001152}$$

0.00583696 मेळोवंक 0.00698896 आनी 0.001152 वजा करचे.

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{0.00583696}$$

\frac{12500000}{36481}\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right) मेळोवंक 2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right) क 0.00583696 न भाग लावचो.

$$\frac{12500000}{36481}\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)$$

0.8+\sqrt{2} न \frac{12500000}{36481} गुणपाक विभाजक विशमाचो वापर करचो.

$$\left(\frac{10000000}{36481}+\frac{12500000}{36481}\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)$$

वितरक गूणधर्माचो वापर करून \frac{10000000}{36481}+\frac{12500000}{36481}\sqrt{2} क 0.0836+0.024\sqrt{2} न गुणचें आनी संज्ञां भशेन एकठावणी करची.

$$\frac{836000}{36481}+\frac{1285000}{36481}\sqrt{2}+\frac{300000}{36481}\left(\sqrt{2}\right)^{2}$$

\sqrt{2} चो वर्ग 2 आसा.

$$\frac{836000}{36481}+\frac{1285000}{36481}\sqrt{2}+\frac{300000}{36481}\times 2$$

\frac{600000}{36481} मेळोवंक \frac{300000}{36481} आनी 2 गुणचें.

$$\frac{836000}{36481}+\frac{1285000}{36481}\sqrt{2}+\frac{600000}{36481}$$

\frac{1436000}{36481} मेळोवंक \frac{836000}{36481} आनी \frac{600000}{36481} ची बेरीज करची.

$$\frac{1436000}{36481}+\frac{1285000}{36481}\sqrt{2}$$