सोडोवचें 1/2tan(15)(sqrt{20}-1)

$$\frac{ 1 }{ 2 \tan ( 15 ) } ( \sqrt{ 20 } -1)$$

मूल्यांकन करचें

$$\frac{10000000000000000\sqrt{5}-5000000000000000}{2679491924311227}\approx 6.479093897$$

सोडोवणी पांवडे

समस्येंत आशिल्लीं त्रिकोणमिती कार्यां मूल्यांकीत करचीं

$$\frac{1}{2 \cdot 0.2679491924311227} {(\sqrt{20} - 1)}$$

0.5358983848622454 मेळोवंक 2 आनी 0.2679491924311227 गुणचें.

$$\frac{1}{0.5358983848622454}\left(\sqrt{20}-1\right)$$

10000000000000000 न्युमरेटर आनी डिनोमिनेटर दोनूय गुणून \frac{1}{0.5358983848622454} विस्तारीत करचो.

$$\frac{10000000000000000}{5358983848622454}\left(\sqrt{20}-1\right)$$

2 भायर काडून आनी रद्द करून एकदम उण्या संज्ञेत अपुर्णांक \frac{10000000000000000}{5358983848622454} उणो करचो.

$$\frac{5000000000000000}{2679491924311227}\left(\sqrt{20}-1\right)$$

20=2^{2}\times 5 गुणकपद काडचें. \sqrt{2^{2}}\sqrt{5} च्या वर्ग मूळाचो गुणाकार म्हूण \sqrt{2^{2}\times 5} च्या वर्गमूळाचो गुणाकार परत बरोवचो. 2^{2} चें वर्गमूळ घेवचें.

$$\frac{5000000000000000}{2679491924311227}\left(2\sqrt{5}-1\right)$$

2\sqrt{5}-1 न \frac{5000000000000000}{2679491924311227} गुणपाक विभाजक विशमाचो वापर करचो.

$$\frac{5000000000000000}{2679491924311227}\times 2\sqrt{5}+\frac{5000000000000000}{2679491924311227}\left(-1\right)$$

एकोडो अपूर्णांक म्हूण \frac{5000000000000000}{2679491924311227}\times 2 स्पश्ट करचें.

$$\frac{5000000000000000\times 2}{2679491924311227}\sqrt{5}+\frac{5000000000000000}{2679491924311227}\left(-1\right)$$

10000000000000000 मेळोवंक 5000000000000000 आनी 2 गुणचें.

$$\frac{10000000000000000}{2679491924311227}\sqrt{5}+\frac{5000000000000000}{2679491924311227}\left(-1\right)$$

-\frac{5000000000000000}{2679491924311227} मेळोवंक \frac{5000000000000000}{2679491924311227} आनी -1 गुणचें.

$$\frac{10000000000000000}{2679491924311227}\sqrt{5}-\frac{5000000000000000}{2679491924311227}$$