Step-by-step explanation:
[tex] {(14 \sqrt{6}) }^{2} = 2 {a}^{2} \\ {14}^{2} \times { \sqrt{6} }^{2} = 2 {a}^{2} \\ 196 \times 6 = 2 {a}^{2} \\ 1176 = 2 {a}^{2} \\ {a}^{2} = 588 \\ a = \sqrt{588} = \sqrt{196 \times 3 } \\ = 14 \sqrt{3} \\ a = b = 14 \sqrt{3} [/tex]
