Find the value upto three decimal places
If \[ \sqrt{2} = 1.414 \] Find: \[ \sqrt{6} – \sqrt{3} \]
(a) 0.235 \quad (b) 0.717 \quad (c) 1.414 \quad (d) 0.471
Solution:
\[ \sqrt{6} = \sqrt{2 \times 3} = \sqrt{2}\sqrt{3} \]
\[ \sqrt{3} \approx 1.732 \]
\[ \sqrt{6} = 1.414 \times 1.732 = 2.449 \]
\[ \sqrt{6} – \sqrt{3} = 2.449 – 1.732 = 0.717 \]
\[ \therefore \text{Correct Answer: } 0.717 \ (\text{Option b}) \]