Question
Add : $2 \sqrt{2}+5 \sqrt{3}$ and $\sqrt{2}-3 \sqrt{3}$

Answer

we have.$(2 \sqrt{2}+5 \sqrt{3})+(\sqrt{2}-3 \sqrt{3})=(2 \sqrt{2}+\sqrt{2})+(5 \sqrt{3}-3 \sqrt{3})$ = $(2+1) \sqrt{2}+(5-3) \sqrt{3}=3 \sqrt{2}+2 \sqrt{3}$

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