Question

If \(\sqrt{2209} = 47\), then what is the value of \(\sqrt{22.09} + \sqrt{0.2209} - \sqrt{0.002209}\) ?
1. 5.321
2. 4.912
3. 5.123
4. 4.943

Answer 1

Correct Answer - Option 3 : 5.123

Given:

\(\sqrt{2209} = 47\)

Calculation:

\(\sqrt{22.09} + \sqrt{0.2209} - \sqrt{0.002209}\)

⇒ \(\sqrt{2209\over100} + \sqrt{2209\over10000} - \sqrt{2209\over1000000}\)

⇒ \({47\over10} + {47\over100} - {47\over1000}\)

⇒ 4.7 + 0.47 - 0.047

⇒ 5.123