Determine the distance between each pair of points.

Check the final answer first, then review the worked steps.

Problem

Determine the distance between each pair of points.

Step-by-step solution

For problem 7, the distance is $\sqrt{(2-0)^2 + (4-0)^2 + (3-0)^2} = \sqrt{4+16+9} = \sqrt{29}$. For problem 8, the distance is $\sqrt{(9-(-2))^2 + (0-5)^2 + (4-(-1))^2} = \sqrt{11^2 + (-5)^2 + 5^2} = \sqrt{121+25+25} = \sqrt{171} = 3\sqrt{19}$.

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Answer

7. $\sqrt{29}$, 8. $3\sqrt{19}$