[tex]a = (7 - \sqrt{2} )^{2} \\ a = 49 - 14 \sqrt{2} + 2 \\ a = 51 - 14 \sqrt{2} \\ b =( {7 \sqrt{2} })^{2} \\ b = 98 \\ a + b = 51 - 14 \sqrt{2} + 98 \\ a + b = 149 - 14 \sqrt{2} \\ ma = (a + b) \div 2 \\ ma = \frac{51 - 14 \sqrt{2} + 98 }{2} \\ ma = \frac{149 - 14 \sqrt{2} }{2} \\ mg = \sqrt{(51 -14 \sqrt{2}) \times 98 } \\ mg = \sqrt{4998 - 1372 \sqrt{2} } \\ mg = (14 - 49 \sqrt{2} ) ^{2} \\ mg = 14 - 49 \sqrt{2} [/tex]
