Step-by-step explanation:
[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } = a + b \sqrt{2} [/tex]
[tex] \frac{10}{ \sqrt{2} } + \frac{ - \sqrt{18} }{ \sqrt{2} } [/tex]
[tex] 5 \sqrt{2} + ( \frac{ - \sqrt{18} }{ \sqrt{2} } ) \times \sqrt{2} [/tex]
[tex]a = 5 \sqrt{2} [/tex]
[tex]b = \frac{ - \sqrt{18} }{ \sqrt{2} } [/tex]
