What type of number is the next expression?

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Which is the result for: $\sqrt{3-\sqrt{5}+\sqrt{{9-4\sqrt{5}}}}$?

It is a natural number?

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HINT : $$9-4\sqrt 5=9-2\sqrt{20}=5+4-2\sqrt{5\cdot 4}=(\sqrt 5-\sqrt 4)^2.$$