Simplify-a-a-2-a-3-a-4-a-1-a-1-

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

Simplify :

\frac{\sqrt{a} + \sqrt{a^{2}} + \sqrt{a^{3}} + \sqrt{a^{4}}}{(\sqrt{a} + 1) \cdot (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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