Question

find the sum of the square roots of 5929 and 9801 and square their sum.

Answer 1

$$\begin{gathered} \sqrt{5929}=\sqrt{7\times 7\times 11\times 11}=7\times 11=77 \\ \sqrt{9801}=\sqrt{3\times 3\times 3\times 3\times 11\times 11}=3\times 3\times 11=99 \\ \mathrm{now},77+99=176 \\ \mathrm{Now},{\left(176\right)}^2=176\times 176=30976 \end{gathered}$$