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Question Number 33363 by soufiane zarik last updated on 15/Apr/18

Commented by soufiane zarik last updated on 15/Apr/18

$$\mathrm{thank}\mathrm{you}\mathrm{sir}!!$$

Commented by Rasheed.Sindhi last updated on 15/Apr/18

$$\mathrm{If}\mathrm{m},\mathrm{n}\in \mathbb{Z}$$$$\sqrt{\mathrm{m}}+\sqrt{\mathrm{n}}=2\sqrt{3}$$$$\sqrt{\mathrm{m}}+\sqrt{\mathrm{n}}=\sqrt{3}+\sqrt{3}$$$$\mathrm{m}=\mathrm{n}=3$$$${\mathrm{m}}^2+{\mathrm{n}}^2=3^2+3^2=18$$

Commented by MJS last updated on 15/Apr/18

$$m,n\in \mathbb{Z}$$$$m=0\Rightarrow n=12\Rightarrow m^2+n^2=144$$

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