how do i know this without using calculator :$\sqrt{(9999²+19999)}$

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I'm sorry to ask this question , I would like to know the value of this :$\sqrt{(9999²+19999)}$ without using calculator ?

Note :I have used digit root theory but it's not work ?

Thank you for any help

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$\sqrt{9999^2+19999}=\sqrt{9999^2+(10000-9999)(10000+9999)}=\sqrt{9999^2+(10000^2-9999^2)}=\sqrt{10000^2}=10000$