Respuesta :

Solution :

[tex]y = 2(1 + 5 \sqrt{967} )[/tex]

Step by Step explanation:

1.Switch sides

[tex]y\sqrt{6} = \sqrt{24 } + \sqrt{967} \sqrt{600} [/tex]

2.Simplify√24 + √967 √600

[tex]y \sqrt{6} = 2 \sqrt{6} + 10 \sqrt{5802} [/tex]

3.Divide both side by √6

[tex] \frac{y \sqrt{6} }{ \sqrt{6} } = \frac{2 \sqrt{6} }{ \sqrt{6 } } + \frac{10 \sqrt{5802} }{ \sqrt{6} } [/tex]

4.Simplify

[tex]y = 2(1 + 5 \sqrt{967} )[/tex]