Question Number 192057 by Shrinava last updated on 07/May/23
$$\mathrm{Simplify}: \\ $$$$\frac{\sqrt{\mathrm{a}}\:\:+\:\:\sqrt{\mathrm{a}^{\mathrm{2}} }\:\:+\:\:\sqrt{\mathrm{a}^{\mathrm{3}} }\:\:+\:\:\sqrt{\mathrm{a}^{\mathrm{4}} }}{\left(\sqrt{\mathrm{a}}\:\:+\:\:\mathrm{1}\right)\centerdot\left(\mathrm{a}\:\:+\:\:\mathrm{1}\right)} \\ $$
Answered by mehdee42 last updated on 07/May/23
$$\:\:\:\frac{\sqrt{{a}}+{a}+{a}\sqrt{{a}}+{a}^{\mathrm{2}} }{\left(\sqrt{{a}}+\mathrm{1}\right)\left({a}+\mathrm{1}\right)}=\frac{\sqrt{{a}}\left(\sqrt{{a}}+\mathrm{1}\right)\left({a}+\mathrm{1}\right)}{\left(\sqrt{{a}}+\mathrm{1}\right)\left({a}+\mathrm{1}\right)}=\sqrt{{a}} \\ $$