सोडोवचें sqrt{{[(2/3+1/2)-1/6]^2}^3+1-(2/3+frac{7}{6}+frac{2}{12})+[15*(frac{1}{3}+frac{1}{5})]^2}

$$\sqrt { \{ [ ( \frac { 2 } { 3 } + \frac { 1 } { 2 } ) - \frac { 1 } { 6 } ] ^ { 2 } \} ^ { 3 } + 1 - ( \frac { 2 } { 3 } + \frac { 7 } { 6 } + \frac { 2 } { 12 } ) + [ 15 \times ( \frac { 1 } { 3 } + \frac { 1 } { 5 } ) ] ^ { 2 } }$$

मूल्यांकन करचें

$$8$$

सोडोवणी पांवडे

एक पॉवर दुसऱ्या पॉवरान उखलून धरपाक, निदर्शकांक गुणचें. 6 मेळोवंक 2 तल्यान 3 गुणचो.

$$\sqrt{\left(\frac{2}{3}+\frac{1}{2}-\frac{1}{6}\right)^{6}+1-\left(\frac{2}{3}+\frac{7}{6}+\frac{2}{12}\right)+\left(15\left(\frac{1}{3}+\frac{1}{5}\right)\right)^{2}}$$

\frac{7}{6} मेळोवंक \frac{2}{3} आनी \frac{1}{2} ची बेरीज करची.

$$\sqrt{\left(\frac{7}{6}-\frac{1}{6}\right)^{6}+1-\left(\frac{2}{3}+\frac{7}{6}+\frac{2}{12}\right)+\left(15\left(\frac{1}{3}+\frac{1}{5}\right)\right)^{2}}$$

1 मेळोवंक \frac{7}{6} आनी \frac{1}{6} वजा करचे.

$$\sqrt{1^{6}+1-\left(\frac{2}{3}+\frac{7}{6}+\frac{2}{12}\right)+\left(15\left(\frac{1}{3}+\frac{1}{5}\right)\right)^{2}}$$

1 मेळोवंक 6 चो 1 पॉवर मेजचो.

$$\sqrt{1+1-\left(\frac{2}{3}+\frac{7}{6}+\frac{2}{12}\right)+\left(15\left(\frac{1}{3}+\frac{1}{5}\right)\right)^{2}}$$

2 मेळोवंक 1 आनी 1 ची बेरीज करची.

$$\sqrt{2-\left(\frac{2}{3}+\frac{7}{6}+\frac{2}{12}\right)+\left(15\left(\frac{1}{3}+\frac{1}{5}\right)\right)^{2}}$$

\frac{11}{6} मेळोवंक \frac{2}{3} आनी \frac{7}{6} ची बेरीज करची.

$$\sqrt{2-\left(\frac{11}{6}+\frac{2}{12}\right)+\left(15\left(\frac{1}{3}+\frac{1}{5}\right)\right)^{2}}$$

2 भायर काडून आनी रद्द करून एकदम उण्या संज्ञेत अपुर्णांक \frac{2}{12} उणो करचो.

$$\sqrt{2-\left(\frac{11}{6}+\frac{1}{6}\right)+\left(15\left(\frac{1}{3}+\frac{1}{5}\right)\right)^{2}}$$

2 मेळोवंक \frac{11}{6} आनी \frac{1}{6} ची बेरीज करची.

$$\sqrt{2-2+\left(15\left(\frac{1}{3}+\frac{1}{5}\right)\right)^{2}}$$

0 मेळोवंक 2 आनी 2 वजा करचे.

$$\sqrt{0+\left(15\left(\frac{1}{3}+\frac{1}{5}\right)\right)^{2}}$$

\frac{8}{15} मेळोवंक \frac{1}{3} आनी \frac{1}{5} ची बेरीज करची.

$$\sqrt{0+\left(15\times \frac{8}{15}\right)^{2}}$$

8 मेळोवंक 15 आनी \frac{8}{15} गुणचें.

$$\sqrt{0+8^{2}}$$

64 मेळोवंक 2 चो 8 पॉवर मेजचो.

$$\sqrt{0+64}$$

64 मेळोवंक 0 आनी 64 ची बेरीज करची.

$$\sqrt{64}$$

64 चें वर्गमूळ मेजचें आनी 8 मेळोवचें.

$$8$$

गुणकपद

$$2^{3}$$