Closed formula for the numbers of the form $\sqrt{1+\sqrt{4+\sqrt{9}}}$

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how can i find the formula for the nth term of this series?

SQ = square root

$\sqrt{1} = 1$

$\sqrt{1 +\sqrt{4}} = \sqrt{3}$

$\sqrt{1 +\sqrt{4+\sqrt{9}}} \approx 1.909385061$

$\sqrt{1 +\sqrt{4+\sqrt{9+\sqrt{16}}}} \approx 1.938508807$

$\sqrt{1 +\sqrt{4+\sqrt{9+\sqrt{16+\sqrt{25}}}}} \approx 1.942232028$

$\sqrt{1 +\sqrt{4+\sqrt{9+\sqrt{16+\sqrt{25+\sqrt{36}}}}}} \approx 1.942619065$

$\sqrt{1 +\sqrt{4+\sqrt{9+\sqrt{16+\sqrt{25+\sqrt{36+\sqrt{49}}}}}}} \approx 1.942652736$