\(\sqrt{a+b}+\sqrt{a^2-b^2}=\sqrt{a+b}+\sqrt{\left(a+b\right)\left(a-b\right)}\)
\(=\sqrt{a+b}+\sqrt{a+b}.\sqrt{a-b}=\sqrt{a+b}.\left(1+\sqrt{a-b}\right)\)
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