सोडोवचें 19*(sqrt{5}-sqrt{3}+sqrt{2})(sqrt{5}-sqrt{3}-sqrt{2})

$$19 \cdot ( \sqrt { 5 } - \sqrt { 3 } + \sqrt { 2 } ) ( \sqrt { 5 } - \sqrt { 3 } - \sqrt { 2 } )$$

मूल्यांकन करचें

$$114-38\sqrt{15}\approx -33.173367156$$

सोडोवणी पांवडे

\sqrt{5}-\sqrt{3}+\sqrt{2} न 19 गुणपाक विभाजक विशमाचो वापर करचो.

$$\left(19\sqrt{5}-19\sqrt{3}+19\sqrt{2}\right)\left(\sqrt{5}-\sqrt{3}-\sqrt{2}\right)$$

19\sqrt{5}-19\sqrt{3}+19\sqrt{2}च्या प्रत्येकी टर्माक \sqrt{5}-\sqrt{3}-\sqrt{2} च्या प्रत्येकी टर्मान गुणाकार करून वितरक गुणधर्म लागू करचो.

$$19\left(\sqrt{5}\right)^{2}-19\sqrt{3}\sqrt{5}-19\sqrt{5}\sqrt{2}-19\sqrt{3}\sqrt{5}+19\left(\sqrt{3}\right)^{2}+19\sqrt{3}\sqrt{2}+19\sqrt{2}\sqrt{5}-19\sqrt{3}\sqrt{2}-19\left(\sqrt{2}\right)^{2}$$

\sqrt{5} चो वर्ग 5 आसा.

$$19\times 5-19\sqrt{3}\sqrt{5}-19\sqrt{5}\sqrt{2}-19\sqrt{3}\sqrt{5}+19\left(\sqrt{3}\right)^{2}+19\sqrt{3}\sqrt{2}+19\sqrt{2}\sqrt{5}-19\sqrt{3}\sqrt{2}-19\left(\sqrt{2}\right)^{2}$$

95 मेळोवंक 19 आनी 5 गुणचें.

$$95-19\sqrt{3}\sqrt{5}-19\sqrt{5}\sqrt{2}-19\sqrt{3}\sqrt{5}+19\left(\sqrt{3}\right)^{2}+19\sqrt{3}\sqrt{2}+19\sqrt{2}\sqrt{5}-19\sqrt{3}\sqrt{2}-19\left(\sqrt{2}\right)^{2}$$

\sqrt{3} आनी \sqrt{5} गुणूंक, वर्गमुळाच्या खाला संख्या गुणची.

$$95-19\sqrt{15}-19\sqrt{5}\sqrt{2}-19\sqrt{3}\sqrt{5}+19\left(\sqrt{3}\right)^{2}+19\sqrt{3}\sqrt{2}+19\sqrt{2}\sqrt{5}-19\sqrt{3}\sqrt{2}-19\left(\sqrt{2}\right)^{2}$$

\sqrt{5} आनी \sqrt{2} गुणूंक, वर्गमुळाच्या खाला संख्या गुणची.

$$95-19\sqrt{15}-19\sqrt{10}-19\sqrt{3}\sqrt{5}+19\left(\sqrt{3}\right)^{2}+19\sqrt{3}\sqrt{2}+19\sqrt{2}\sqrt{5}-19\sqrt{3}\sqrt{2}-19\left(\sqrt{2}\right)^{2}$$

\sqrt{3} आनी \sqrt{5} गुणूंक, वर्गमुळाच्या खाला संख्या गुणची.

$$95-19\sqrt{15}-19\sqrt{10}-19\sqrt{15}+19\left(\sqrt{3}\right)^{2}+19\sqrt{3}\sqrt{2}+19\sqrt{2}\sqrt{5}-19\sqrt{3}\sqrt{2}-19\left(\sqrt{2}\right)^{2}$$

-38\sqrt{15} मेळोवंक -19\sqrt{15} आनी -19\sqrt{15} एकठांय करचें.

$$95-38\sqrt{15}-19\sqrt{10}+19\left(\sqrt{3}\right)^{2}+19\sqrt{3}\sqrt{2}+19\sqrt{2}\sqrt{5}-19\sqrt{3}\sqrt{2}-19\left(\sqrt{2}\right)^{2}$$

\sqrt{3} चो वर्ग 3 आसा.

$$95-38\sqrt{15}-19\sqrt{10}+19\times 3+19\sqrt{3}\sqrt{2}+19\sqrt{2}\sqrt{5}-19\sqrt{3}\sqrt{2}-19\left(\sqrt{2}\right)^{2}$$

57 मेळोवंक 19 आनी 3 गुणचें.

$$95-38\sqrt{15}-19\sqrt{10}+57+19\sqrt{3}\sqrt{2}+19\sqrt{2}\sqrt{5}-19\sqrt{3}\sqrt{2}-19\left(\sqrt{2}\right)^{2}$$

152 मेळोवंक 95 आनी 57 ची बेरीज करची.

$$152-38\sqrt{15}-19\sqrt{10}+19\sqrt{3}\sqrt{2}+19\sqrt{2}\sqrt{5}-19\sqrt{3}\sqrt{2}-19\left(\sqrt{2}\right)^{2}$$

\sqrt{3} आनी \sqrt{2} गुणूंक, वर्गमुळाच्या खाला संख्या गुणची.

$$152-38\sqrt{15}-19\sqrt{10}+19\sqrt{6}+19\sqrt{2}\sqrt{5}-19\sqrt{3}\sqrt{2}-19\left(\sqrt{2}\right)^{2}$$

\sqrt{2} आनी \sqrt{5} गुणूंक, वर्गमुळाच्या खाला संख्या गुणची.

$$152-38\sqrt{15}-19\sqrt{10}+19\sqrt{6}+19\sqrt{10}-19\sqrt{3}\sqrt{2}-19\left(\sqrt{2}\right)^{2}$$

0 मेळोवंक -19\sqrt{10} आनी 19\sqrt{10} एकठांय करचें.

$$152-38\sqrt{15}+19\sqrt{6}-19\sqrt{3}\sqrt{2}-19\left(\sqrt{2}\right)^{2}$$

\sqrt{3} आनी \sqrt{2} गुणूंक, वर्गमुळाच्या खाला संख्या गुणची.

$$152-38\sqrt{15}+19\sqrt{6}-19\sqrt{6}-19\left(\sqrt{2}\right)^{2}$$

0 मेळोवंक 19\sqrt{6} आनी -19\sqrt{6} एकठांय करचें.

$$152-38\sqrt{15}-19\left(\sqrt{2}\right)^{2}$$

\sqrt{2} चो वर्ग 2 आसा.

$$152-38\sqrt{15}-19\times 2$$

-38 मेळोवंक -19 आनी 2 गुणचें.

$$152-38\sqrt{15}-38$$

114 मेळोवंक 152 आनी 38 वजा करचे.

$$114-38\sqrt{15}$$