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Answer 1

Answer:

$let\\(\sqrt{3+\sqrt{5} } )-(\sqrt{3-\sqrt{5} } )=x\\so,\\x^{2} =3+\sqrt{5} +3-\sqrt{5} -2(\sqrt{(3-\sqrt{5})(3+\sqrt{5} ) } \\x^{2} =6-2(\sqrt{9-5} )\\ x^{2} =6-2(\sqrt{4} )\\x^{2} =6-2(2)\\x^{2} =6-4\\x^{2} =2\\x=\sqrt{2\\}$

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