By rationalizing the denominator of
[tex] \frac{ \sqrt{2} }{ \sqrt{5 + \sqrt{3} } } [/tex]
Salma got the answer as:

a)
[tex] \frac{ \sqrt{2} }{ \sqrt{5 - \sqrt{3} } } [/tex]
b)
[tex] \frac{ \sqrt{2( \sqrt{5 - \sqrt{3)} } } }{2} [/tex]
c)
[tex] \frac{ \sqrt{2( \sqrt{5 + \sqrt{3}) } } }{2} [/tex]
d)
[tex] \sqrt{5 - \sqrt{3} } [/tex]

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