Question

Find the value of $\sqrt{7}$ through long division method.

• A. 2.645751...........
• B. 2.653213
• C. 2.563214................
• D. 2.642321

Answer 1

The correct option is A 2.645751...........

We need to keep decimal point after 7. After decimal point, write zeros. Group zeros in pairs. Use the long-division method as shown below.

If we continue the division process, we get non terminating and non recurring decimal as $\sqrt{7}$ = 2.645751..........