Chapter E, Problem 1E

To determine

To define: The sum ${\displaystyle \sum _{i=1}^5\sqrt{i}}$ in the expanded form.

Answer to Problem 1E

The sum in expanded form is $\sqrt{1}+\sqrt{2}+\sqrt{3}+\sqrt{4}+\sqrt{5}$ .

Explanation of Solution

Given information:

The given sum is ${\displaystyle \sum _{i=1}^5\sqrt{i}}$ .

Write the sum ${\displaystyle \sum _{i=1}^5\sqrt{i}}$ in the expanded form as shown below:

Put $i=1$ , $i=2,i=3,i=4\text{ and }i=5$ into the above sum.

  ${\displaystyle \sum _{i=1}^5\sqrt{i}}=\sqrt{1}+\sqrt{2}+\sqrt{3}+\sqrt{4}+\sqrt{5}$