Add 22−−√3 + 322−−√ + 22−−√ .(1 point)

Answer 1

To add these expressions, we need to evaluate each square root separately and then add the results together.

$\sqrt{3} \approx 1.732$ (rounded to three decimal places)

$\sqrt{32} = \sqrt{16 \cdot 2} = \sqrt{16} \cdot \sqrt{2} = 4 \cdot \sqrt{2} = 4\sqrt{2} \approx 5.657$ (rounded to three decimal places)

$\sqrt{2} \approx 1.414$ (rounded to three decimal places)

Adding them together: $22 - \sqrt{3} + 32 - \sqrt{2} + 22 - \sqrt{2} = 66 - \sqrt{3} - 2\sqrt{2} \approx 66 - 1.732 - 2(1.414) \approx 59.116$

So, $22 - \sqrt{3} + 32\sqrt{2} + 22\sqrt{2} \approx 59.116$.