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# What is the distance between the points (2, 5) and (5, 7)?

**Solution:**

Given (2, 5) and (5, 7)

Distance between two points is given as d

d= √[(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}]

Here x_{1} = 2, y_{1} = 5, x_{2} = 5 and y_{2} = 7

d= √(5 - 2)^{2} + (7 - 5)^{2}

d=√(3^{2} + 2^{2})

d= √(9 + 4)

d= √13

Therefore, the distance between the points is √13.

## What is the distance between the points (2, 5) and (5, 7)?

**Summary:**

The distance between the points (2, 5) and (5, 7) is √13.

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