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Question Number 192057 by Shrinava last updated on 07/May/23

$$\mathrm{Simplify}:$$$$\frac{\sqrt{\mathrm{a}}+\sqrt{{\mathrm{a}}^2}+\sqrt{{\mathrm{a}}^3}+\sqrt{{\mathrm{a}}^4}}{(\sqrt{\mathrm{a}}+1)\cdot (\mathrm{a}+1)}$$

Answered by mehdee42 last updated on 07/May/23

$$\frac{\sqrt{a}+a+a\sqrt{a}+a^2}{(\sqrt{a}+1)(a+1)}=\frac{\sqrt{a}(\sqrt{a}+1)(a+1)}{(\sqrt{a}+1)(a+1)}=\sqrt{a}$$

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