question_answer 39)

                  You measure two quantities as \[A=1.0\,m\pm 0.5\,m,\] \[B=2.0\,m\pm 0.2\,m\].                 We should report correct value for \[\sqrt{AB}\] as:                 (a) \[1.4\text{ }m\pm 0.4\text{ }m\]       (b) \[1.41\text{ }m\pm 0.15\text{ }m\]                 (c) \[1.4\text{ }m\pm 0.3\text{ }m\]       (d) \[1.4\text{ }m\pm 0.2\text{ }m\]                

Answer:

                  (d)                 \[\sqrt{1.0\times 2.0)}\]                 \[=(1.4\pm ~0.2)\text{ }m\]